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Finding the Fourth Proportional to 17,872.69, 26,775.19 and 11,931.66

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Solution

The fourth proportional to 17,872.69, 26,775.19 and 11,931.66 is: 17,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.69 : 26,775.19 = 11,931.66 : x
  2. Step 2: Convert to fraction form
    17,872.69/26,775.19 = 11,931.66/x
  3. Step 3: Cross multiply
    17,872.69x = 26,775.19 × 11,931.66
  4. Step 4: Simplify right side
    17,872.69x = 319,472,463.52
  5. Step 5: Solve for x
    x = 319,472,463.52/17,872.69
  6. Step 6: Final answer
    x = 17,874.90

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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.