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Finding the Fourth Proportional to 8,472.29, 11,685.91 and 5,815.09

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Solution

The fourth proportional to 8,472.29, 11,685.91 and 5,815.09 is: 8,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.29 : 11,685.91 = 5,815.09 : x
  2. Step 2: Convert to fraction form
    8,472.29/11,685.91 = 5,815.09/x
  3. Step 3: Cross multiply
    8,472.29x = 11,685.91 × 5,815.09
  4. Step 4: Simplify right side
    8,472.29x = 67,954,589.17
  5. Step 5: Solve for x
    x = 67,954,589.17/8,472.29
  6. Step 6: Final answer
    x = 8,020.80

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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.