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Finding the Fourth Proportional to 6,367.55, 8,787.05 and 3,714.78

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Solution

The fourth proportional to 6,367.55, 8,787.05 and 3,714.78 is: 5,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.55 : 8,787.05 = 3,714.78 : x
  2. Step 2: Convert to fraction form
    6,367.55/8,787.05 = 3,714.78/x
  3. Step 3: Cross multiply
    6,367.55x = 8,787.05 × 3,714.78
  4. Step 4: Simplify right side
    6,367.55x = 32,641,939.03
  5. Step 5: Solve for x
    x = 32,641,939.03/6,367.55
  6. Step 6: Final answer
    x = 5,126.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.