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Finding the Fourth Proportional to 10,312.92, 15,463.82 and 3,291

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Solution

The fourth proportional to 10,312.92, 15,463.82 and 3,291 is: 4,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.92 : 15,463.82 = 3,291 : x
  2. Step 2: Convert to fraction form
    10,312.92/15,463.82 = 3,291/x
  3. Step 3: Cross multiply
    10,312.92x = 15,463.82 × 3,291
  4. Step 4: Simplify right side
    10,312.92x = 50,891,431.62
  5. Step 5: Solve for x
    x = 50,891,431.62/10,312.92
  6. Step 6: Final answer
    x = 4,934.73

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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.