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Finding the Fourth Proportional to 2,525.29, 3,787.47 and 769.87

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Solution

The fourth proportional to 2,525.29, 3,787.47 and 769.87 is: 1,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.29 : 3,787.47 = 769.87 : x
  2. Step 2: Convert to fraction form
    2,525.29/3,787.47 = 769.87/x
  3. Step 3: Cross multiply
    2,525.29x = 3,787.47 × 769.87
  4. Step 4: Simplify right side
    2,525.29x = 2,915,859.53
  5. Step 5: Solve for x
    x = 2,915,859.53/2,525.29
  6. Step 6: Final answer
    x = 1,154.66

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Why These Related Problems?

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