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Finding the Fourth Proportional to 5,247.38, 7,872 and 1,960.40

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Solution

The fourth proportional to 5,247.38, 7,872 and 1,960.40 is: 2,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.38 : 7,872 = 1,960.40 : x
  2. Step 2: Convert to fraction form
    5,247.38/7,872 = 1,960.40/x
  3. Step 3: Cross multiply
    5,247.38x = 7,872 × 1,960.40
  4. Step 4: Simplify right side
    5,247.38x = 15,432,268.80
  5. Step 5: Solve for x
    x = 15,432,268.80/5,247.38
  6. Step 6: Final answer
    x = 2,940.95

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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.