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Finding the Fourth Proportional to 8,508.52, 12,686.45 and 8,353

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Solution

The fourth proportional to 8,508.52, 12,686.45 and 8,353 is: 12,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.52 : 12,686.45 = 8,353 : x
  2. Step 2: Convert to fraction form
    8,508.52/12,686.45 = 8,353/x
  3. Step 3: Cross multiply
    8,508.52x = 12,686.45 × 8,353
  4. Step 4: Simplify right side
    8,508.52x = 105,969,916.85
  5. Step 5: Solve for x
    x = 105,969,916.85/8,508.52
  6. Step 6: Final answer
    x = 12,454.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.