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Finding the Fourth Proportional to 25,589.98, 38,366.79 and 9,781.69

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Solution

The fourth proportional to 25,589.98, 38,366.79 and 9,781.69 is: 14,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.98 : 38,366.79 = 9,781.69 : x
  2. Step 2: Convert to fraction form
    25,589.98/38,366.79 = 9,781.69/x
  3. Step 3: Cross multiply
    25,589.98x = 38,366.79 × 9,781.69
  4. Step 4: Simplify right side
    25,589.98x = 375,292,141.99
  5. Step 5: Solve for x
    x = 375,292,141.99/25,589.98
  6. Step 6: Final answer
    x = 14,665.59

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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.