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Finding the Fourth Proportional to 2,891.20, 4,336.48 and 839.20

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Solution

The fourth proportional to 2,891.20, 4,336.48 and 839.20 is: 1,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.20 : 4,336.48 = 839.20 : x
  2. Step 2: Convert to fraction form
    2,891.20/4,336.48 = 839.20/x
  3. Step 3: Cross multiply
    2,891.20x = 4,336.48 × 839.20
  4. Step 4: Simplify right side
    2,891.20x = 3,639,174.02
  5. Step 5: Solve for x
    x = 3,639,174.02/2,891.20
  6. Step 6: Final answer
    x = 1,258.71

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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.