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Finding the Fourth Proportional to 7,143.68, 10,715.56 and 2,213.22

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Solution

The fourth proportional to 7,143.68, 10,715.56 and 2,213.22 is: 3,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.68 : 10,715.56 = 2,213.22 : x
  2. Step 2: Convert to fraction form
    7,143.68/10,715.56 = 2,213.22/x
  3. Step 3: Cross multiply
    7,143.68x = 10,715.56 × 2,213.22
  4. Step 4: Simplify right side
    7,143.68x = 23,715,891.70
  5. Step 5: Solve for x
    x = 23,715,891.70/7,143.68
  6. Step 6: Final answer
    x = 3,319.84

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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.