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Finding the Fourth Proportional to 11,406.84, 15,744.94 and 7,420.92

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Solution

The fourth proportional to 11,406.84, 15,744.94 and 7,420.92 is: 10,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.84 : 15,744.94 = 7,420.92 : x
  2. Step 2: Convert to fraction form
    11,406.84/15,744.94 = 7,420.92/x
  3. Step 3: Cross multiply
    11,406.84x = 15,744.94 × 7,420.92
  4. Step 4: Simplify right side
    11,406.84x = 116,841,940.14
  5. Step 5: Solve for x
    x = 116,841,940.14/11,406.84
  6. Step 6: Final answer
    x = 10,243.15

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Half scale
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Double scale
Find fourth proportional to 11,407.84, 15,746.32 and 7,421.92
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.