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Finding the Fourth Proportional to 3,414.66, 5,122.32 and 915.81

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Solution

The fourth proportional to 3,414.66, 5,122.32 and 915.81 is: 1,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.66 : 5,122.32 = 915.81 : x
  2. Step 2: Convert to fraction form
    3,414.66/5,122.32 = 915.81/x
  3. Step 3: Cross multiply
    3,414.66x = 5,122.32 × 915.81
  4. Step 4: Simplify right side
    3,414.66x = 4,691,071.88
  5. Step 5: Solve for x
    x = 4,691,071.88/3,414.66
  6. Step 6: Final answer
    x = 1,373.80

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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.