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Finding the Fourth Proportional to 2,138.29, 3,207.57 and 732.79

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Solution

The fourth proportional to 2,138.29, 3,207.57 and 732.79 is: 1,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.29 : 3,207.57 = 732.79 : x
  2. Step 2: Convert to fraction form
    2,138.29/3,207.57 = 732.79/x
  3. Step 3: Cross multiply
    2,138.29x = 3,207.57 × 732.79
  4. Step 4: Simplify right side
    2,138.29x = 2,350,475.22
  5. Step 5: Solve for x
    x = 2,350,475.22/2,138.29
  6. Step 6: Final answer
    x = 1,099.23

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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.