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Finding the Fourth Proportional to 3,634.75, 5,015.96 and 1,978.75

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Solution

The fourth proportional to 3,634.75, 5,015.96 and 1,978.75 is: 2,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.75 : 5,015.96 = 1,978.75 : x
  2. Step 2: Convert to fraction form
    3,634.75/5,015.96 = 1,978.75/x
  3. Step 3: Cross multiply
    3,634.75x = 5,015.96 × 1,978.75
  4. Step 4: Simplify right side
    3,634.75x = 9,925,330.85
  5. Step 5: Solve for x
    x = 9,925,330.85/3,634.75
  6. Step 6: Final answer
    x = 2,730.68

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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.