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Finding the Fourth Proportional to 3,868.65, 5,805 and 3,659.54

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Solution

The fourth proportional to 3,868.65, 5,805 and 3,659.54 is: 5,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.65 : 5,805 = 3,659.54 : x
  2. Step 2: Convert to fraction form
    3,868.65/5,805 = 3,659.54/x
  3. Step 3: Cross multiply
    3,868.65x = 5,805 × 3,659.54
  4. Step 4: Simplify right side
    3,868.65x = 21,243,600.68
  5. Step 5: Solve for x
    x = 21,243,600.68/3,868.65
  6. Step 6: Final answer
    x = 5,491.22

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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.