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Finding the Fourth Proportional to 8,472.25, 11,691.71 and 5,160.25

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Solution

The fourth proportional to 8,472.25, 11,691.71 and 5,160.25 is: 7,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.25 : 11,691.71 = 5,160.25 : x
  2. Step 2: Convert to fraction form
    8,472.25/11,691.71 = 5,160.25/x
  3. Step 3: Cross multiply
    8,472.25x = 11,691.71 × 5,160.25
  4. Step 4: Simplify right side
    8,472.25x = 60,332,146.53
  5. Step 5: Solve for x
    x = 60,332,146.53/8,472.25
  6. Step 6: Final answer
    x = 7,121.15

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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.