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Finding the Fourth Proportional to 3,140.80, 4,711.20 and 1,844.80

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Solution

The fourth proportional to 3,140.80, 4,711.20 and 1,844.80 is: 2,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.80 : 4,711.20 = 1,844.80 : x
  2. Step 2: Convert to fraction form
    3,140.80/4,711.20 = 1,844.80/x
  3. Step 3: Cross multiply
    3,140.80x = 4,711.20 × 1,844.80
  4. Step 4: Simplify right side
    3,140.80x = 8,691,221.76
  5. Step 5: Solve for x
    x = 8,691,221.76/3,140.80
  6. Step 6: Final answer
    x = 2,767.20

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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.