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Finding the Fourth Proportional to 3,759.62, 5,640.51 and 1,162.76

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Solution

The fourth proportional to 3,759.62, 5,640.51 and 1,162.76 is: 1,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.62 : 5,640.51 = 1,162.76 : x
  2. Step 2: Convert to fraction form
    3,759.62/5,640.51 = 1,162.76/x
  3. Step 3: Cross multiply
    3,759.62x = 5,640.51 × 1,162.76
  4. Step 4: Simplify right side
    3,759.62x = 6,558,559.41
  5. Step 5: Solve for x
    x = 6,558,559.41/3,759.62
  6. Step 6: Final answer
    x = 1,744.47

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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.