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Finding the Fourth Proportional to 2,740.92, 4,111.77 and 891.44

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Solution

The fourth proportional to 2,740.92, 4,111.77 and 891.44 is: 1,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.92 : 4,111.77 = 891.44 : x
  2. Step 2: Convert to fraction form
    2,740.92/4,111.77 = 891.44/x
  3. Step 3: Cross multiply
    2,740.92x = 4,111.77 × 891.44
  4. Step 4: Simplify right side
    2,740.92x = 3,665,396.25
  5. Step 5: Solve for x
    x = 3,665,396.25/2,740.92
  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.