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Finding the Fourth Proportional to 3,881.75, 5,358.17 and 2,309.81

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Solution

The fourth proportional to 3,881.75, 5,358.17 and 2,309.81 is: 3,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.75 : 5,358.17 = 2,309.81 : x
  2. Step 2: Convert to fraction form
    3,881.75/5,358.17 = 2,309.81/x
  3. Step 3: Cross multiply
    3,881.75x = 5,358.17 × 2,309.81
  4. Step 4: Simplify right side
    3,881.75x = 12,376,343.10
  5. Step 5: Solve for x
    x = 12,376,343.10/3,881.75
  6. Step 6: Final answer
    x = 3,188.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.