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Finding the Fourth Proportional to 8,689.56, 13,031.76 and 2,449.12

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Solution

The fourth proportional to 8,689.56, 13,031.76 and 2,449.12 is: 3,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.56 : 13,031.76 = 2,449.12 : x
  2. Step 2: Convert to fraction form
    8,689.56/13,031.76 = 2,449.12/x
  3. Step 3: Cross multiply
    8,689.56x = 13,031.76 × 2,449.12
  4. Step 4: Simplify right side
    8,689.56x = 31,916,344.05
  5. Step 5: Solve for x
    x = 31,916,344.05/8,689.56
  6. Step 6: Final answer
    x = 3,672.95

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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.