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Finding the Fourth Proportional to 1,447.39, 1,997.46 and 826.39

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Solution

The fourth proportional to 1,447.39, 1,997.46 and 826.39 is: 1,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.39 : 1,997.46 = 826.39 : x
  2. Step 2: Convert to fraction form
    1,447.39/1,997.46 = 826.39/x
  3. Step 3: Cross multiply
    1,447.39x = 1,997.46 × 826.39
  4. Step 4: Simplify right side
    1,447.39x = 1,650,680.97
  5. Step 5: Solve for x
    x = 1,650,680.97/1,447.39
  6. Step 6: Final answer
    x = 1,140.45

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1.5x scale

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.