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Finding the Fourth Proportional to 25,666.39, 38,500.95 and 8,137.60

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Solution

The fourth proportional to 25,666.39, 38,500.95 and 8,137.60 is: 12,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.39 : 38,500.95 = 8,137.60 : x
  2. Step 2: Convert to fraction form
    25,666.39/38,500.95 = 8,137.60/x
  3. Step 3: Cross multiply
    25,666.39x = 38,500.95 × 8,137.60
  4. Step 4: Simplify right side
    25,666.39x = 313,305,330.72
  5. Step 5: Solve for x
    x = 313,305,330.72/25,666.39
  6. Step 6: Final answer
    x = 12,206.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.