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Finding the Fourth Proportional to 2,119.80, 3,179.70 and 580.80

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Solution

The fourth proportional to 2,119.80, 3,179.70 and 580.80 is: 871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.80 : 3,179.70 = 580.80 : x
  2. Step 2: Convert to fraction form
    2,119.80/3,179.70 = 580.80/x
  3. Step 3: Cross multiply
    2,119.80x = 3,179.70 × 580.80
  4. Step 4: Simplify right side
    2,119.80x = 1,846,769.76
  5. Step 5: Solve for x
    x = 1,846,769.76/2,119.80
  6. Step 6: Final answer
    x = 871.20

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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.