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Finding the Fourth Proportional to 11,459.16, 15,812.82 and 6,742.80

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Solution

The fourth proportional to 11,459.16, 15,812.82 and 6,742.80 is: 9,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.16 : 15,812.82 = 6,742.80 : x
  2. Step 2: Convert to fraction form
    11,459.16/15,812.82 = 6,742.80/x
  3. Step 3: Cross multiply
    11,459.16x = 15,812.82 × 6,742.80
  4. Step 4: Simplify right side
    11,459.16x = 106,622,682.70
  5. Step 5: Solve for x
    x = 106,622,682.70/11,459.16
  6. Step 6: Final answer
    x = 9,304.58

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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.