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Finding the Fourth Proportional to 2,839.66, 4,260.06 and 891.41

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Solution

The fourth proportional to 2,839.66, 4,260.06 and 891.41 is: 1,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.66 : 4,260.06 = 891.41 : x
  2. Step 2: Convert to fraction form
    2,839.66/4,260.06 = 891.41/x
  3. Step 3: Cross multiply
    2,839.66x = 4,260.06 × 891.41
  4. Step 4: Simplify right side
    2,839.66x = 3,797,438.78
  5. Step 5: Solve for x
    x = 3,797,438.78/2,839.66
  6. Step 6: Final answer
    x = 1,337.29

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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.