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Finding the Fourth Proportional to 3,659.78, 5,050.49 and 1,981.19

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Solution

The fourth proportional to 3,659.78, 5,050.49 and 1,981.19 is: 2,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.78 : 5,050.49 = 1,981.19 : x
  2. Step 2: Convert to fraction form
    3,659.78/5,050.49 = 1,981.19/x
  3. Step 3: Cross multiply
    3,659.78x = 5,050.49 × 1,981.19
  4. Step 4: Simplify right side
    3,659.78x = 10,005,983.00
  5. Step 5: Solve for x
    x = 10,005,983.00/3,659.78
  6. Step 6: Final answer
    x = 2,734.04

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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.