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Finding the Fourth Proportional to 16,899, 25,348.48 and 7,658.52

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Solution

The fourth proportional to 16,899, 25,348.48 and 7,658.52 is: 11,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,899 : 25,348.48 = 7,658.52 : x
  2. Step 2: Convert to fraction form
    16,899/25,348.48 = 7,658.52/x
  3. Step 3: Cross multiply
    16,899x = 25,348.48 × 7,658.52
  4. Step 4: Simplify right side
    16,899x = 194,131,841.05
  5. Step 5: Solve for x
    x = 194,131,841.05/16,899
  6. Step 6: Final answer
    x = 11,487.77

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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.