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Finding the Fourth Proportional to 7,151.65, 9,869.13 and 4,169.14

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Solution

The fourth proportional to 7,151.65, 9,869.13 and 4,169.14 is: 5,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.65 : 9,869.13 = 4,169.14 : x
  2. Step 2: Convert to fraction form
    7,151.65/9,869.13 = 4,169.14/x
  3. Step 3: Cross multiply
    7,151.65x = 9,869.13 × 4,169.14
  4. Step 4: Simplify right side
    7,151.65x = 41,145,759.98
  5. Step 5: Solve for x
    x = 41,145,759.98/7,151.65
  6. Step 6: Final answer
    x = 5,753.33

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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.