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Finding the Fourth Proportional to 17,781.65, 26,689.21 and 9,022.85

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Solution

The fourth proportional to 17,781.65, 26,689.21 and 9,022.85 is: 13,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.65 : 26,689.21 = 9,022.85 : x
  2. Step 2: Convert to fraction form
    17,781.65/26,689.21 = 9,022.85/x
  3. Step 3: Cross multiply
    17,781.65x = 26,689.21 × 9,022.85
  4. Step 4: Simplify right side
    17,781.65x = 240,812,605.00
  5. Step 5: Solve for x
    x = 240,812,605.00/17,781.65
  6. Step 6: Final answer
    x = 13,542.76

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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.