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Finding the Fourth Proportional to 2,586.53, 3,859.79 and 2,309.65

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Solution

The fourth proportional to 2,586.53, 3,859.79 and 2,309.65 is: 3,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.53 : 3,859.79 = 2,309.65 : x
  2. Step 2: Convert to fraction form
    2,586.53/3,859.79 = 2,309.65/x
  3. Step 3: Cross multiply
    2,586.53x = 3,859.79 × 2,309.65
  4. Step 4: Simplify right side
    2,586.53x = 8,914,742.78
  5. Step 5: Solve for x
    x = 8,914,742.78/2,586.53
  6. Step 6: Final answer
    x = 3,446.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.