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Finding the Fourth Proportional to 8,266.78, 12,372.49 and 6,785.95

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Solution

The fourth proportional to 8,266.78, 12,372.49 and 6,785.95 is: 10,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.78 : 12,372.49 = 6,785.95 : x
  2. Step 2: Convert to fraction form
    8,266.78/12,372.49 = 6,785.95/x
  3. Step 3: Cross multiply
    8,266.78x = 12,372.49 × 6,785.95
  4. Step 4: Simplify right side
    8,266.78x = 83,959,098.52
  5. Step 5: Solve for x
    x = 83,959,098.52/8,266.78
  6. Step 6: Final answer
    x = 10,156.20

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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.