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Finding the Fourth Proportional to 17,934, 26,888.28 and 8,442.84

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Solution

The fourth proportional to 17,934, 26,888.28 and 8,442.84 is: 12,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934 : 26,888.28 = 8,442.84 : x
  2. Step 2: Convert to fraction form
    17,934/26,888.28 = 8,442.84/x
  3. Step 3: Cross multiply
    17,934x = 26,888.28 × 8,442.84
  4. Step 4: Simplify right side
    17,934x = 227,013,445.92
  5. Step 5: Solve for x
    x = 227,013,445.92/17,934
  6. Step 6: Final answer
    x = 12,658.27

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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.