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Finding the Fourth Proportional to 5,253.43, 7,877.85 and 2,787.70

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Solution

The fourth proportional to 5,253.43, 7,877.85 and 2,787.70 is: 4,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.43 : 7,877.85 = 2,787.70 : x
  2. Step 2: Convert to fraction form
    5,253.43/7,877.85 = 2,787.70/x
  3. Step 3: Cross multiply
    5,253.43x = 7,877.85 × 2,787.70
  4. Step 4: Simplify right side
    5,253.43x = 21,961,082.45
  5. Step 5: Solve for x
    x = 21,961,082.45/5,253.43
  6. Step 6: Final answer
    x = 4,180.33

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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.