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Finding the Fourth Proportional to 8,466, 12,691.76 and 3,275.52

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Solution

The fourth proportional to 8,466, 12,691.76 and 3,275.52 is: 4,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466 : 12,691.76 = 3,275.52 : x
  2. Step 2: Convert to fraction form
    8,466/12,691.76 = 3,275.52/x
  3. Step 3: Cross multiply
    8,466x = 12,691.76 × 3,275.52
  4. Step 4: Simplify right side
    8,466x = 41,572,113.72
  5. Step 5: Solve for x
    x = 41,572,113.72/8,466
  6. Step 6: Final answer
    x = 4,910.48

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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.