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Finding the Fourth Proportional to 16,474.40, 24,769.20 and 16,128.80

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Solution

The fourth proportional to 16,474.40, 24,769.20 and 16,128.80 is: 24,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.40 : 24,769.20 = 16,128.80 : x
  2. Step 2: Convert to fraction form
    16,474.40/24,769.20 = 16,128.80/x
  3. Step 3: Cross multiply
    16,474.40x = 24,769.20 × 16,128.80
  4. Step 4: Simplify right side
    16,474.40x = 399,497,472.96
  5. Step 5: Solve for x
    x = 399,497,472.96/16,474.40
  6. Step 6: Final answer
    x = 24,249.59

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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.