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Finding the Fourth Proportional to 2,761.38, 4,141.53 and 813.15

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Solution

The fourth proportional to 2,761.38, 4,141.53 and 813.15 is: 1,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.38 : 4,141.53 = 813.15 : x
  2. Step 2: Convert to fraction form
    2,761.38/4,141.53 = 813.15/x
  3. Step 3: Cross multiply
    2,761.38x = 4,141.53 × 813.15
  4. Step 4: Simplify right side
    2,761.38x = 3,367,685.12
  5. Step 5: Solve for x
    x = 3,367,685.12/2,761.38
  6. Step 6: Final answer
    x = 1,219.57

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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.