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Finding the Fourth Proportional to 7,144.28, 10,718.10 and 2,981.97

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Solution

The fourth proportional to 7,144.28, 10,718.10 and 2,981.97 is: 4,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.28 : 10,718.10 = 2,981.97 : x
  2. Step 2: Convert to fraction form
    7,144.28/10,718.10 = 2,981.97/x
  3. Step 3: Cross multiply
    7,144.28x = 10,718.10 × 2,981.97
  4. Step 4: Simplify right side
    7,144.28x = 31,961,052.66
  5. Step 5: Solve for x
    x = 31,961,052.66/7,144.28
  6. Step 6: Final answer
    x = 4,473.66

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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.