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Finding the Fourth Proportional to 11,407.76, 15,742.58 and 6,691.14

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Solution

The fourth proportional to 11,407.76, 15,742.58 and 6,691.14 is: 9,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.76 : 15,742.58 = 6,691.14 : x
  2. Step 2: Convert to fraction form
    11,407.76/15,742.58 = 6,691.14/x
  3. Step 3: Cross multiply
    11,407.76x = 15,742.58 × 6,691.14
  4. Step 4: Simplify right side
    11,407.76x = 105,335,806.74
  5. Step 5: Solve for x
    x = 105,335,806.74/11,407.76
  6. Step 6: Final answer
    x = 9,233.70

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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.