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Finding the Fourth Proportional to 20,082.40, 27,714 and 11,129.92

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Solution

The fourth proportional to 20,082.40, 27,714 and 11,129.92 is: 15,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.40 : 27,714 = 11,129.92 : x
  2. Step 2: Convert to fraction form
    20,082.40/27,714 = 11,129.92/x
  3. Step 3: Cross multiply
    20,082.40x = 27,714 × 11,129.92
  4. Step 4: Simplify right side
    20,082.40x = 308,454,602.88
  5. Step 5: Solve for x
    x = 308,454,602.88/20,082.40
  6. Step 6: Final answer
    x = 15,359.45

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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.