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Finding the Fourth Proportional to 2,098.68, 3,147.96 and 865.17

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Solution

The fourth proportional to 2,098.68, 3,147.96 and 865.17 is: 1,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.68 : 3,147.96 = 865.17 : x
  2. Step 2: Convert to fraction form
    2,098.68/3,147.96 = 865.17/x
  3. Step 3: Cross multiply
    2,098.68x = 3,147.96 × 865.17
  4. Step 4: Simplify right side
    2,098.68x = 2,723,535.60
  5. Step 5: Solve for x
    x = 2,723,535.60/2,098.68
  6. Step 6: Final answer
    x = 1,297.74

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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.