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Finding the Fourth Proportional to 2,218.47, 3,325.28 and 755.61

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Solution

The fourth proportional to 2,218.47, 3,325.28 and 755.61 is: 1,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.47 : 3,325.28 = 755.61 : x
  2. Step 2: Convert to fraction form
    2,218.47/3,325.28 = 755.61/x
  3. Step 3: Cross multiply
    2,218.47x = 3,325.28 × 755.61
  4. Step 4: Simplify right side
    2,218.47x = 2,512,611.04
  5. Step 5: Solve for x
    x = 2,512,611.04/2,218.47
  6. Step 6: Final answer
    x = 1,132.59

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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.