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Finding the Fourth Proportional to 2,213.80, 3,321.10 and 915.40

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Solution

The fourth proportional to 2,213.80, 3,321.10 and 915.40 is: 1,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.80 : 3,321.10 = 915.40 : x
  2. Step 2: Convert to fraction form
    2,213.80/3,321.10 = 915.40/x
  3. Step 3: Cross multiply
    2,213.80x = 3,321.10 × 915.40
  4. Step 4: Simplify right side
    2,213.80x = 3,040,134.94
  5. Step 5: Solve for x
    x = 3,040,134.94/2,213.80
  6. Step 6: Final answer
    x = 1,373.27

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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.