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Finding the Fourth Proportional to 3,380.28, 5,070.47 and 915.35

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Solution

The fourth proportional to 3,380.28, 5,070.47 and 915.35 is: 1,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.28 : 5,070.47 = 915.35 : x
  2. Step 2: Convert to fraction form
    3,380.28/5,070.47 = 915.35/x
  3. Step 3: Cross multiply
    3,380.28x = 5,070.47 × 915.35
  4. Step 4: Simplify right side
    3,380.28x = 4,641,261.03
  5. Step 5: Solve for x
    x = 4,641,261.03/3,380.28
  6. Step 6: Final answer
    x = 1,373.04

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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.