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Finding the Fourth Proportional to 2,200.52, 3,302.10 and 968

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Solution

The fourth proportional to 2,200.52, 3,302.10 and 968 is: 1,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.52 : 3,302.10 = 968 : x
  2. Step 2: Convert to fraction form
    2,200.52/3,302.10 = 968/x
  3. Step 3: Cross multiply
    2,200.52x = 3,302.10 × 968
  4. Step 4: Simplify right side
    2,200.52x = 3,196,432.80
  5. Step 5: Solve for x
    x = 3,196,432.80/2,200.52
  6. Step 6: Final answer
    x = 1,452.58

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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.