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Finding the Fourth Proportional to 2,764.60, 4,147.02 and 915.66

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Solution

The fourth proportional to 2,764.60, 4,147.02 and 915.66 is: 1,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.60 : 4,147.02 = 915.66 : x
  2. Step 2: Convert to fraction form
    2,764.60/4,147.02 = 915.66/x
  3. Step 3: Cross multiply
    2,764.60x = 4,147.02 × 915.66
  4. Step 4: Simplify right side
    2,764.60x = 3,797,260.33
  5. Step 5: Solve for x
    x = 3,797,260.33/2,764.60
  6. Step 6: Final answer
    x = 1,373.53

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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.