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Finding the Fourth Proportional to 2,232.68, 3,350.94 and 865.64

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Solution

The fourth proportional to 2,232.68, 3,350.94 and 865.64 is: 1,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.68 : 3,350.94 = 865.64 : x
  2. Step 2: Convert to fraction form
    2,232.68/3,350.94 = 865.64/x
  3. Step 3: Cross multiply
    2,232.68x = 3,350.94 × 865.64
  4. Step 4: Simplify right side
    2,232.68x = 2,900,707.70
  5. Step 5: Solve for x
    x = 2,900,707.70/2,232.68
  6. Step 6: Final answer
    x = 1,299.20

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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.