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Finding the Fourth Proportional to 2,232.21, 3,348.78 and 672.15

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Solution

The fourth proportional to 2,232.21, 3,348.78 and 672.15 is: 1,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.21 : 3,348.78 = 672.15 : x
  2. Step 2: Convert to fraction form
    2,232.21/3,348.78 = 672.15/x
  3. Step 3: Cross multiply
    2,232.21x = 3,348.78 × 672.15
  4. Step 4: Simplify right side
    2,232.21x = 2,250,882.48
  5. Step 5: Solve for x
    x = 2,250,882.48/2,232.21
  6. Step 6: Final answer
    x = 1,008.37

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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.