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Finding the Fourth Proportional to 2,743.82, 4,115.96 and 894.90

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Solution

The fourth proportional to 2,743.82, 4,115.96 and 894.90 is: 1,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.82 : 4,115.96 = 894.90 : x
  2. Step 2: Convert to fraction form
    2,743.82/4,115.96 = 894.90/x
  3. Step 3: Cross multiply
    2,743.82x = 4,115.96 × 894.90
  4. Step 4: Simplify right side
    2,743.82x = 3,683,368.80
  5. Step 5: Solve for x
    x = 3,683,368.80/2,743.82
  6. Step 6: Final answer
    x = 1,342.42

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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.