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Finding the Fourth Proportional to 2,764.13, 4,146.39 and 915.20

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Solution

The fourth proportional to 2,764.13, 4,146.39 and 915.20 is: 1,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.13 : 4,146.39 = 915.20 : x
  2. Step 2: Convert to fraction form
    2,764.13/4,146.39 = 915.20/x
  3. Step 3: Cross multiply
    2,764.13x = 4,146.39 × 915.20
  4. Step 4: Simplify right side
    2,764.13x = 3,794,770.95
  5. Step 5: Solve for x
    x = 3,794,770.95/2,764.13
  6. Step 6: Final answer
    x = 1,372.87

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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.