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Finding the Fourth Proportional to 6,318.29, 9,473.71 and 3,787.88

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Solution

The fourth proportional to 6,318.29, 9,473.71 and 3,787.88 is: 5,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.29 : 9,473.71 = 3,787.88 : x
  2. Step 2: Convert to fraction form
    6,318.29/9,473.71 = 3,787.88/x
  3. Step 3: Cross multiply
    6,318.29x = 9,473.71 × 3,787.88
  4. Step 4: Simplify right side
    6,318.29x = 35,885,276.63
  5. Step 5: Solve for x
    x = 35,885,276.63/6,318.29
  6. Step 6: Final answer
    x = 5,679.59

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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.