Home / 2,131.12-3,197.20-832.16

Finding the Fourth Proportional to 2,131.12, 3,197.20 and 832.16

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Solution

The fourth proportional to 2,131.12, 3,197.20 and 832.16 is: 1,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.12 : 3,197.20 = 832.16 : x
  2. Step 2: Convert to fraction form
    2,131.12/3,197.20 = 832.16/x
  3. Step 3: Cross multiply
    2,131.12x = 3,197.20 × 832.16
  4. Step 4: Simplify right side
    2,131.12x = 2,660,581.95
  5. Step 5: Solve for x
    x = 2,660,581.95/2,131.12
  6. Step 6: Final answer
    x = 1,248.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.