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Finding the Fourth Proportional to 2,524.76, 3,787.70 and 769.90

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Solution

The fourth proportional to 2,524.76, 3,787.70 and 769.90 is: 1,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.76 : 3,787.70 = 769.90 : x
  2. Step 2: Convert to fraction form
    2,524.76/3,787.70 = 769.90/x
  3. Step 3: Cross multiply
    2,524.76x = 3,787.70 × 769.90
  4. Step 4: Simplify right side
    2,524.76x = 2,916,133.14
  5. Step 5: Solve for x
    x = 2,916,133.14/2,524.76
  6. Step 6: Final answer
    x = 1,155.02

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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.