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Finding the Fourth Proportional to 10,100.92, 13,934.36 and 6,514.92

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Solution

The fourth proportional to 10,100.92, 13,934.36 and 6,514.92 is: 8,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.92 : 13,934.36 = 6,514.92 : x
  2. Step 2: Convert to fraction form
    10,100.92/13,934.36 = 6,514.92/x
  3. Step 3: Cross multiply
    10,100.92x = 13,934.36 × 6,514.92
  4. Step 4: Simplify right side
    10,100.92x = 90,781,240.65
  5. Step 5: Solve for x
    x = 90,781,240.65/10,100.92
  6. Step 6: Final answer
    x = 8,987.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.