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Finding the Fourth Proportional to 3,868.32, 5,794.92 and 3,089.91

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Solution

The fourth proportional to 3,868.32, 5,794.92 and 3,089.91 is: 4,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.32 : 5,794.92 = 3,089.91 : x
  2. Step 2: Convert to fraction form
    3,868.32/5,794.92 = 3,089.91/x
  3. Step 3: Cross multiply
    3,868.32x = 5,794.92 × 3,089.91
  4. Step 4: Simplify right side
    3,868.32x = 17,905,781.26
  5. Step 5: Solve for x
    x = 17,905,781.26/3,868.32
  6. Step 6: Final answer
    x = 4,628.83

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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.