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Finding the Fourth Proportional to 25,886.67, 38,829.60 and 8,117.70

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Solution

The fourth proportional to 25,886.67, 38,829.60 and 8,117.70 is: 12,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.67 : 38,829.60 = 8,117.70 : x
  2. Step 2: Convert to fraction form
    25,886.67/38,829.60 = 8,117.70/x
  3. Step 3: Cross multiply
    25,886.67x = 38,829.60 × 8,117.70
  4. Step 4: Simplify right side
    25,886.67x = 315,207,043.92
  5. Step 5: Solve for x
    x = 315,207,043.92/25,886.67
  6. Step 6: Final answer
    x = 12,176.42

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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.