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Finding the Fourth Proportional to 7,144.93, 10,713.48 and 2,213.20

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Solution

The fourth proportional to 7,144.93, 10,713.48 and 2,213.20 is: 3,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.93 : 10,713.48 = 2,213.20 : x
  2. Step 2: Convert to fraction form
    7,144.93/10,713.48 = 2,213.20/x
  3. Step 3: Cross multiply
    7,144.93x = 10,713.48 × 2,213.20
  4. Step 4: Simplify right side
    7,144.93x = 23,711,073.94
  5. Step 5: Solve for x
    x = 23,711,073.94/7,144.93
  6. Step 6: Final answer
    x = 3,318.59

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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.