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Finding the Fourth Proportional to 10,640.68, 15,956.12 and 3,243.62

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Solution

The fourth proportional to 10,640.68, 15,956.12 and 3,243.62 is: 4,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.68 : 15,956.12 = 3,243.62 : x
  2. Step 2: Convert to fraction form
    10,640.68/15,956.12 = 3,243.62/x
  3. Step 3: Cross multiply
    10,640.68x = 15,956.12 × 3,243.62
  4. Step 4: Simplify right side
    10,640.68x = 51,755,637.95
  5. Step 5: Solve for x
    x = 51,755,637.95/10,640.68
  6. Step 6: Final answer
    x = 4,863.94

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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.