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Finding the Fourth Proportional to 2,163.68, 3,244.40 and 702.64

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Solution

The fourth proportional to 2,163.68, 3,244.40 and 702.64 is: 1,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.68 : 3,244.40 = 702.64 : x
  2. Step 2: Convert to fraction form
    2,163.68/3,244.40 = 702.64/x
  3. Step 3: Cross multiply
    2,163.68x = 3,244.40 × 702.64
  4. Step 4: Simplify right side
    2,163.68x = 2,279,645.22
  5. Step 5: Solve for x
    x = 2,279,645.22/2,163.68
  6. Step 6: Final answer
    x = 1,053.60

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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.