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Finding the Fourth Proportional to 3,189.92, 4,787.64 and 1,243.49

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Solution

The fourth proportional to 3,189.92, 4,787.64 and 1,243.49 is: 1,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.92 : 4,787.64 = 1,243.49 : x
  2. Step 2: Convert to fraction form
    3,189.92/4,787.64 = 1,243.49/x
  3. Step 3: Cross multiply
    3,189.92x = 4,787.64 × 1,243.49
  4. Step 4: Simplify right side
    3,189.92x = 5,953,358.53
  5. Step 5: Solve for x
    x = 5,953,358.53/3,189.92
  6. Step 6: Final answer
    x = 1,866.31

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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.