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Finding the Fourth Proportional to 2,163.80, 3,246.02 and 702.68

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Solution

The fourth proportional to 2,163.80, 3,246.02 and 702.68 is: 1,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.80 : 3,246.02 = 702.68 : x
  2. Step 2: Convert to fraction form
    2,163.80/3,246.02 = 702.68/x
  3. Step 3: Cross multiply
    2,163.80x = 3,246.02 × 702.68
  4. Step 4: Simplify right side
    2,163.80x = 2,280,913.33
  5. Step 5: Solve for x
    x = 2,280,913.33/2,163.80
  6. Step 6: Final answer
    x = 1,054.12

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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.