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Finding the Fourth Proportional to 7,144.31, 10,716 and 2,213.55

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Solution

The fourth proportional to 7,144.31, 10,716 and 2,213.55 is: 3,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.31 : 10,716 = 2,213.55 : x
  2. Step 2: Convert to fraction form
    7,144.31/10,716 = 2,213.55/x
  3. Step 3: Cross multiply
    7,144.31x = 10,716 × 2,213.55
  4. Step 4: Simplify right side
    7,144.31x = 23,720,401.80
  5. Step 5: Solve for x
    x = 23,720,401.80/7,144.31
  6. Step 6: Final answer
    x = 3,320.18

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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.