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Finding the Fourth Proportional to 7,666.62, 11,489.94 and 5,565.30

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Solution

The fourth proportional to 7,666.62, 11,489.94 and 5,565.30 is: 8,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.62 : 11,489.94 = 5,565.30 : x
  2. Step 2: Convert to fraction form
    7,666.62/11,489.94 = 5,565.30/x
  3. Step 3: Cross multiply
    7,666.62x = 11,489.94 × 5,565.30
  4. Step 4: Simplify right side
    7,666.62x = 63,944,963.08
  5. Step 5: Solve for x
    x = 63,944,963.08/7,666.62
  6. Step 6: Final answer
    x = 8,340.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.