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Finding the Fourth Proportional to 6,472.24, 8,929.05 and 4,081.39

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Solution

The fourth proportional to 6,472.24, 8,929.05 and 4,081.39 is: 5,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.24 : 8,929.05 = 4,081.39 : x
  2. Step 2: Convert to fraction form
    6,472.24/8,929.05 = 4,081.39/x
  3. Step 3: Cross multiply
    6,472.24x = 8,929.05 × 4,081.39
  4. Step 4: Simplify right side
    6,472.24x = 36,442,935.38
  5. Step 5: Solve for x
    x = 36,442,935.38/6,472.24
  6. Step 6: Final answer
    x = 5,630.65

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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.