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Finding the Fourth Proportional to 3,140.80, 4,711.20 and 800.80

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Solution

The fourth proportional to 3,140.80, 4,711.20 and 800.80 is: 1,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.80 : 4,711.20 = 800.80 : x
  2. Step 2: Convert to fraction form
    3,140.80/4,711.20 = 800.80/x
  3. Step 3: Cross multiply
    3,140.80x = 4,711.20 × 800.80
  4. Step 4: Simplify right side
    3,140.80x = 3,772,728.96
  5. Step 5: Solve for x
    x = 3,772,728.96/3,140.80
  6. Step 6: Final answer
    x = 1,201.20

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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.