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Finding the Fourth Proportional to 3,634.06, 5,015.10 and 1,978.06

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Solution

The fourth proportional to 3,634.06, 5,015.10 and 1,978.06 is: 2,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.06 : 5,015.10 = 1,978.06 : x
  2. Step 2: Convert to fraction form
    3,634.06/5,015.10 = 1,978.06/x
  3. Step 3: Cross multiply
    3,634.06x = 5,015.10 × 1,978.06
  4. Step 4: Simplify right side
    3,634.06x = 9,920,168.71
  5. Step 5: Solve for x
    x = 9,920,168.71/3,634.06
  6. Step 6: Final answer
    x = 2,729.78

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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.