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Finding the Fourth Proportional to 22,240, 30,691.20 and 13,856.50

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Solution

The fourth proportional to 22,240, 30,691.20 and 13,856.50 is: 19,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,240 : 30,691.20 = 13,856.50 : x
  2. Step 2: Convert to fraction form
    22,240/30,691.20 = 13,856.50/x
  3. Step 3: Cross multiply
    22,240x = 30,691.20 × 13,856.50
  4. Step 4: Simplify right side
    22,240x = 425,272,612.80
  5. Step 5: Solve for x
    x = 425,272,612.80/22,240
  6. Step 6: Final answer
    x = 19,121.97

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Why These Related Problems?

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