Home / 2,142.20-3,197.80-1,981.88

Finding the Fourth Proportional to 2,142.20, 3,197.80 and 1,981.88

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Solution

The fourth proportional to 2,142.20, 3,197.80 and 1,981.88 is: 2,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.20 : 3,197.80 = 1,981.88 : x
  2. Step 2: Convert to fraction form
    2,142.20/3,197.80 = 1,981.88/x
  3. Step 3: Cross multiply
    2,142.20x = 3,197.80 × 1,981.88
  4. Step 4: Simplify right side
    2,142.20x = 6,337,655.86
  5. Step 5: Solve for x
    x = 6,337,655.86/2,142.20
  6. Step 6: Final answer
    x = 2,958.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.