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Finding the Fourth Proportional to 2,810.75, 3,879.11 and 1,762.61

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Solution

The fourth proportional to 2,810.75, 3,879.11 and 1,762.61 is: 2,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.75 : 3,879.11 = 1,762.61 : x
  2. Step 2: Convert to fraction form
    2,810.75/3,879.11 = 1,762.61/x
  3. Step 3: Cross multiply
    2,810.75x = 3,879.11 × 1,762.61
  4. Step 4: Simplify right side
    2,810.75x = 6,837,349.26
  5. Step 5: Solve for x
    x = 6,837,349.26/2,810.75
  6. Step 6: Final answer
    x = 2,432.57

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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.