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Finding the Fourth Proportional to 2,352.38, 3,532.02 and 2,310.90

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Solution

The fourth proportional to 2,352.38, 3,532.02 and 2,310.90 is: 3,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.38 : 3,532.02 = 2,310.90 : x
  2. Step 2: Convert to fraction form
    2,352.38/3,532.02 = 2,310.90/x
  3. Step 3: Cross multiply
    2,352.38x = 3,532.02 × 2,310.90
  4. Step 4: Simplify right side
    2,352.38x = 8,162,145.02
  5. Step 5: Solve for x
    x = 8,162,145.02/2,352.38
  6. Step 6: Final answer
    x = 3,469.74

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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.