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Finding the Fourth Proportional to 20,943.28, 31,414.11 and 7,092.28

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Solution

The fourth proportional to 20,943.28, 31,414.11 and 7,092.28 is: 10,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,943.28 : 31,414.11 = 7,092.28 : x
  2. Step 2: Convert to fraction form
    20,943.28/31,414.11 = 7,092.28/x
  3. Step 3: Cross multiply
    20,943.28x = 31,414.11 × 7,092.28
  4. Step 4: Simplify right side
    20,943.28x = 222,797,664.07
  5. Step 5: Solve for x
    x = 222,797,664.07/20,943.28
  6. Step 6: Final answer
    x = 10,638.15

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1.5x scale

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.