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Finding the Fourth Proportional to 6,381.78, 8,809.24 and 3,730.04

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Solution

The fourth proportional to 6,381.78, 8,809.24 and 3,730.04 is: 5,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.78 : 8,809.24 = 3,730.04 : x
  2. Step 2: Convert to fraction form
    6,381.78/8,809.24 = 3,730.04/x
  3. Step 3: Cross multiply
    6,381.78x = 8,809.24 × 3,730.04
  4. Step 4: Simplify right side
    6,381.78x = 32,858,817.57
  5. Step 5: Solve for x
    x = 32,858,817.57/6,381.78
  6. Step 6: Final answer
    x = 5,148.85

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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.