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Finding the Fourth Proportional to 2,213.65, 3,319.61 and 732.49

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Solution

The fourth proportional to 2,213.65, 3,319.61 and 732.49 is: 1,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.65 : 3,319.61 = 732.49 : x
  2. Step 2: Convert to fraction form
    2,213.65/3,319.61 = 732.49/x
  3. Step 3: Cross multiply
    2,213.65x = 3,319.61 × 732.49
  4. Step 4: Simplify right side
    2,213.65x = 2,431,589.90
  5. Step 5: Solve for x
    x = 2,431,589.90/2,213.65
  6. Step 6: Final answer
    x = 1,098.45

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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.