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Finding the Fourth Proportional to 3,380.57, 5,070.86 and 915.40

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Solution

The fourth proportional to 3,380.57, 5,070.86 and 915.40 is: 1,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.57 : 5,070.86 = 915.40 : x
  2. Step 2: Convert to fraction form
    3,380.57/5,070.86 = 915.40/x
  3. Step 3: Cross multiply
    3,380.57x = 5,070.86 × 915.40
  4. Step 4: Simplify right side
    3,380.57x = 4,641,865.24
  5. Step 5: Solve for x
    x = 4,641,865.24/3,380.57
  6. Step 6: Final answer
    x = 1,373.10

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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.