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Finding the Fourth Proportional to 25,696.46, 38,550.79 and 8,166.30

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Solution

The fourth proportional to 25,696.46, 38,550.79 and 8,166.30 is: 12,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.46 : 38,550.79 = 8,166.30 : x
  2. Step 2: Convert to fraction form
    25,696.46/38,550.79 = 8,166.30/x
  3. Step 3: Cross multiply
    25,696.46x = 38,550.79 × 8,166.30
  4. Step 4: Simplify right side
    25,696.46x = 314,817,316.38
  5. Step 5: Solve for x
    x = 314,817,316.38/25,696.46
  6. Step 6: Final answer
    x = 12,251.39

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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.