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Finding the Fourth Proportional to 11,406.94, 15,729.14 and 7,420.66

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Solution

The fourth proportional to 11,406.94, 15,729.14 and 7,420.66 is: 10,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.94 : 15,729.14 = 7,420.66 : x
  2. Step 2: Convert to fraction form
    11,406.94/15,729.14 = 7,420.66/x
  3. Step 3: Cross multiply
    11,406.94x = 15,729.14 × 7,420.66
  4. Step 4: Simplify right side
    11,406.94x = 116,720,600.03
  5. Step 5: Solve for x
    x = 116,720,600.03/11,406.94
  6. Step 6: Final answer
    x = 10,232.42

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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.