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Finding the Fourth Proportional to 25,144.16, 37,658.82 and 12,005.78

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Solution

The fourth proportional to 25,144.16, 37,658.82 and 12,005.78 is: 17,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144.16 : 37,658.82 = 12,005.78 : x
  2. Step 2: Convert to fraction form
    25,144.16/37,658.82 = 12,005.78/x
  3. Step 3: Cross multiply
    25,144.16x = 37,658.82 × 12,005.78
  4. Step 4: Simplify right side
    25,144.16x = 452,123,507.98
  5. Step 5: Solve for x
    x = 452,123,507.98/25,144.16
  6. Step 6: Final answer
    x = 17,981.25

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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.