Home / 2,129.13-3,191.80-830.30

Finding the Fourth Proportional to 2,129.13, 3,191.80 and 830.30

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Solution

The fourth proportional to 2,129.13, 3,191.80 and 830.30 is: 1,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.13 : 3,191.80 = 830.30 : x
  2. Step 2: Convert to fraction form
    2,129.13/3,191.80 = 830.30/x
  3. Step 3: Cross multiply
    2,129.13x = 3,191.80 × 830.30
  4. Step 4: Simplify right side
    2,129.13x = 2,650,151.54
  5. Step 5: Solve for x
    x = 2,650,151.54/2,129.13
  6. Step 6: Final answer
    x = 1,244.71

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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.