Home / 2,119.12-3,178.62-820.88

Finding the Fourth Proportional to 2,119.12, 3,178.62 and 820.88

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Solution

The fourth proportional to 2,119.12, 3,178.62 and 820.88 is: 1,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.12 : 3,178.62 = 820.88 : x
  2. Step 2: Convert to fraction form
    2,119.12/3,178.62 = 820.88/x
  3. Step 3: Cross multiply
    2,119.12x = 3,178.62 × 820.88
  4. Step 4: Simplify right side
    2,119.12x = 2,609,265.59
  5. Step 5: Solve for x
    x = 2,609,265.59/2,119.12
  6. Step 6: Final answer
    x = 1,231.30

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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.