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Finding the Fourth Proportional to 2,728.40, 4,092.60 and 780.80

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Solution

The fourth proportional to 2,728.40, 4,092.60 and 780.80 is: 1,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.40 : 4,092.60 = 780.80 : x
  2. Step 2: Convert to fraction form
    2,728.40/4,092.60 = 780.80/x
  3. Step 3: Cross multiply
    2,728.40x = 4,092.60 × 780.80
  4. Step 4: Simplify right side
    2,728.40x = 3,195,502.08
  5. Step 5: Solve for x
    x = 3,195,502.08/2,728.40
  6. Step 6: Final answer
    x = 1,171.20

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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.