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Finding the Fourth Proportional to 1,447.28, 1,997.20 and 826.28

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Solution

The fourth proportional to 1,447.28, 1,997.20 and 826.28 is: 1,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.28 : 1,997.20 = 826.28 : x
  2. Step 2: Convert to fraction form
    1,447.28/1,997.20 = 826.28/x
  3. Step 3: Cross multiply
    1,447.28x = 1,997.20 × 826.28
  4. Step 4: Simplify right side
    1,447.28x = 1,650,246.42
  5. Step 5: Solve for x
    x = 1,650,246.42/1,447.28
  6. Step 6: Final answer
    x = 1,140.24

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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.