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Finding the Fourth Proportional to 3,381, 5,071.52 and 915.64

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Solution

The fourth proportional to 3,381, 5,071.52 and 915.64 is: 1,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381 : 5,071.52 = 915.64 : x
  2. Step 2: Convert to fraction form
    3,381/5,071.52 = 915.64/x
  3. Step 3: Cross multiply
    3,381x = 5,071.52 × 915.64
  4. Step 4: Simplify right side
    3,381x = 4,643,686.57
  5. Step 5: Solve for x
    x = 4,643,686.57/3,381
  6. Step 6: Final answer
    x = 1,373.47

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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.