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Finding the Fourth Proportional to 3,838.96, 5,758.44 and 1,340.65

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Solution

The fourth proportional to 3,838.96, 5,758.44 and 1,340.65 is: 2,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.96 : 5,758.44 = 1,340.65 : x
  2. Step 2: Convert to fraction form
    3,838.96/5,758.44 = 1,340.65/x
  3. Step 3: Cross multiply
    3,838.96x = 5,758.44 × 1,340.65
  4. Step 4: Simplify right side
    3,838.96x = 7,720,052.59
  5. Step 5: Solve for x
    x = 7,720,052.59/3,838.96
  6. Step 6: Final answer
    x = 2,010.98

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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.