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Finding the Fourth Proportional to 1,679.62, 2,514.90 and 1,092.86

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Solution

The fourth proportional to 1,679.62, 2,514.90 and 1,092.86 is: 1,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.62 : 2,514.90 = 1,092.86 : x
  2. Step 2: Convert to fraction form
    1,679.62/2,514.90 = 1,092.86/x
  3. Step 3: Cross multiply
    1,679.62x = 2,514.90 × 1,092.86
  4. Step 4: Simplify right side
    1,679.62x = 2,748,433.61
  5. Step 5: Solve for x
    x = 2,748,433.61/1,679.62
  6. Step 6: Final answer
    x = 1,636.34

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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.