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Finding the Fourth Proportional to 2,592.97, 3,888.78 and 743.59

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Solution

The fourth proportional to 2,592.97, 3,888.78 and 743.59 is: 1,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.97 : 3,888.78 = 743.59 : x
  2. Step 2: Convert to fraction form
    2,592.97/3,888.78 = 743.59/x
  3. Step 3: Cross multiply
    2,592.97x = 3,888.78 × 743.59
  4. Step 4: Simplify right side
    2,592.97x = 2,891,657.92
  5. Step 5: Solve for x
    x = 2,891,657.92/2,592.97
  6. Step 6: Final answer
    x = 1,115.19

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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.