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Finding the Fourth Proportional to 6,472.31, 8,934.50 and 4,377.65

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Solution

The fourth proportional to 6,472.31, 8,934.50 and 4,377.65 is: 6,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.31 : 8,934.50 = 4,377.65 : x
  2. Step 2: Convert to fraction form
    6,472.31/8,934.50 = 4,377.65/x
  3. Step 3: Cross multiply
    6,472.31x = 8,934.50 × 4,377.65
  4. Step 4: Simplify right side
    6,472.31x = 39,112,080.20
  5. Step 5: Solve for x
    x = 39,112,080.20/6,472.31
  6. Step 6: Final answer
    x = 6,042.99

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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.