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Finding the Fourth Proportional to 25,899.22, 38,838.12 and 8,123.95

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Solution

The fourth proportional to 25,899.22, 38,838.12 and 8,123.95 is: 12,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,899.22 : 38,838.12 = 8,123.95 : x
  2. Step 2: Convert to fraction form
    25,899.22/38,838.12 = 8,123.95/x
  3. Step 3: Cross multiply
    25,899.22x = 38,838.12 × 8,123.95
  4. Step 4: Simplify right side
    25,899.22x = 315,518,944.97
  5. Step 5: Solve for x
    x = 315,518,944.97/25,899.22
  6. Step 6: Final answer
    x = 12,182.57

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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.