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Finding the Fourth Proportional to 25,820.78, 38,658.18 and 16,437.56

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Solution

The fourth proportional to 25,820.78, 38,658.18 and 16,437.56 is: 24,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,820.78 : 38,658.18 = 16,437.56 : x
  2. Step 2: Convert to fraction form
    25,820.78/38,658.18 = 16,437.56/x
  3. Step 3: Cross multiply
    25,820.78x = 38,658.18 × 16,437.56
  4. Step 4: Simplify right side
    25,820.78x = 635,446,153.24
  5. Step 5: Solve for x
    x = 635,446,153.24/25,820.78
  6. Step 6: Final answer
    x = 24,609.87

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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.