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Finding the Fourth Proportional to 1,350.62, 1,863.94 and 826.70

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Solution

The fourth proportional to 1,350.62, 1,863.94 and 826.70 is: 1,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.62 : 1,863.94 = 826.70 : x
  2. Step 2: Convert to fraction form
    1,350.62/1,863.94 = 826.70/x
  3. Step 3: Cross multiply
    1,350.62x = 1,863.94 × 826.70
  4. Step 4: Simplify right side
    1,350.62x = 1,540,919.20
  5. Step 5: Solve for x
    x = 1,540,919.20/1,350.62
  6. Step 6: Final answer
    x = 1,140.90

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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.