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Finding the Fourth Proportional to 2,147.57, 3,221.58 and 915.11

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Solution

The fourth proportional to 2,147.57, 3,221.58 and 915.11 is: 1,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.57 : 3,221.58 = 915.11 : x
  2. Step 2: Convert to fraction form
    2,147.57/3,221.58 = 915.11/x
  3. Step 3: Cross multiply
    2,147.57x = 3,221.58 × 915.11
  4. Step 4: Simplify right side
    2,147.57x = 2,948,083.97
  5. Step 5: Solve for x
    x = 2,948,083.97/2,147.57
  6. Step 6: Final answer
    x = 1,372.76

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1.5x scale

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.