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Finding the Fourth Proportional to 7,145.84, 10,713.49 and 2,761.31

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Solution

The fourth proportional to 7,145.84, 10,713.49 and 2,761.31 is: 4,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.84 : 10,713.49 = 2,761.31 : x
  2. Step 2: Convert to fraction form
    7,145.84/10,713.49 = 2,761.31/x
  3. Step 3: Cross multiply
    7,145.84x = 10,713.49 × 2,761.31
  4. Step 4: Simplify right side
    7,145.84x = 29,583,286.95
  5. Step 5: Solve for x
    x = 29,583,286.95/7,145.84
  6. Step 6: Final answer
    x = 4,139.93

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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.