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Finding the Fourth Proportional to 2,163.71, 3,245.22 and 702.53

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Solution

The fourth proportional to 2,163.71, 3,245.22 and 702.53 is: 1,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.71 : 3,245.22 = 702.53 : x
  2. Step 2: Convert to fraction form
    2,163.71/3,245.22 = 702.53/x
  3. Step 3: Cross multiply
    2,163.71x = 3,245.22 × 702.53
  4. Step 4: Simplify right side
    2,163.71x = 2,279,864.41
  5. Step 5: Solve for x
    x = 2,279,864.41/2,163.71
  6. Step 6: Final answer
    x = 1,053.68

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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.