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Finding the Fourth Proportional to 2,744.80, 4,117.54 and 896.10

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Solution

The fourth proportional to 2,744.80, 4,117.54 and 896.10 is: 1,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.80 : 4,117.54 = 896.10 : x
  2. Step 2: Convert to fraction form
    2,744.80/4,117.54 = 896.10/x
  3. Step 3: Cross multiply
    2,744.80x = 4,117.54 × 896.10
  4. Step 4: Simplify right side
    2,744.80x = 3,689,727.59
  5. Step 5: Solve for x
    x = 3,689,727.59/2,744.80
  6. Step 6: Final answer
    x = 1,344.26

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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.