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Finding the Fourth Proportional to 2,586.25, 3,879.92 and 1,047.25

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Solution

The fourth proportional to 2,586.25, 3,879.92 and 1,047.25 is: 1,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.25 : 3,879.92 = 1,047.25 : x
  2. Step 2: Convert to fraction form
    2,586.25/3,879.92 = 1,047.25/x
  3. Step 3: Cross multiply
    2,586.25x = 3,879.92 × 1,047.25
  4. Step 4: Simplify right side
    2,586.25x = 4,063,246.22
  5. Step 5: Solve for x
    x = 4,063,246.22/2,586.25
  6. Step 6: Final answer
    x = 1,571.10

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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.