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Finding the Fourth Proportional to 2,741.91, 4,112.87 and 892.95

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Solution

The fourth proportional to 2,741.91, 4,112.87 and 892.95 is: 1,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.91 : 4,112.87 = 892.95 : x
  2. Step 2: Convert to fraction form
    2,741.91/4,112.87 = 892.95/x
  3. Step 3: Cross multiply
    2,741.91x = 4,112.87 × 892.95
  4. Step 4: Simplify right side
    2,741.91x = 3,672,582.80
  5. Step 5: Solve for x
    x = 3,672,582.80/2,741.91
  6. Step 6: Final answer
    x = 1,339.43

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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.