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Finding the Fourth Proportional to 2,839.28, 4,260 and 891.68

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Solution

The fourth proportional to 2,839.28, 4,260 and 891.68 is: 1,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.28 : 4,260 = 891.68 : x
  2. Step 2: Convert to fraction form
    2,839.28/4,260 = 891.68/x
  3. Step 3: Cross multiply
    2,839.28x = 4,260 × 891.68
  4. Step 4: Simplify right side
    2,839.28x = 3,798,556.80
  5. Step 5: Solve for x
    x = 3,798,556.80/2,839.28
  6. Step 6: Final answer
    x = 1,337.86

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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.