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Finding the Fourth Proportional to 2,761.12, 4,142.40 and 813.40

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Solution

The fourth proportional to 2,761.12, 4,142.40 and 813.40 is: 1,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.12 : 4,142.40 = 813.40 : x
  2. Step 2: Convert to fraction form
    2,761.12/4,142.40 = 813.40/x
  3. Step 3: Cross multiply
    2,761.12x = 4,142.40 × 813.40
  4. Step 4: Simplify right side
    2,761.12x = 3,369,428.16
  5. Step 5: Solve for x
    x = 3,369,428.16/2,761.12
  6. Step 6: Final answer
    x = 1,220.31

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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.