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Finding the Fourth Proportional to 3,657.38, 5,047.17 and 1,978.78

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Solution

The fourth proportional to 3,657.38, 5,047.17 and 1,978.78 is: 2,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.38 : 5,047.17 = 1,978.78 : x
  2. Step 2: Convert to fraction form
    3,657.38/5,047.17 = 1,978.78/x
  3. Step 3: Cross multiply
    3,657.38x = 5,047.17 × 1,978.78
  4. Step 4: Simplify right side
    3,657.38x = 9,987,239.05
  5. Step 5: Solve for x
    x = 9,987,239.05/3,657.38
  6. Step 6: Final answer
    x = 2,730.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.