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Finding the Fourth Proportional to 3,759, 5,638.41 and 1,295.52

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Solution

The fourth proportional to 3,759, 5,638.41 and 1,295.52 is: 1,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759 : 5,638.41 = 1,295.52 : x
  2. Step 2: Convert to fraction form
    3,759/5,638.41 = 1,295.52/x
  3. Step 3: Cross multiply
    3,759x = 5,638.41 × 1,295.52
  4. Step 4: Simplify right side
    3,759x = 7,304,672.92
  5. Step 5: Solve for x
    x = 7,304,672.92/3,759
  6. Step 6: Final answer
    x = 1,943.25

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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.