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Finding the Fourth Proportional to 2,566.32, 3,849.84 and 810.73

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Solution

The fourth proportional to 2,566.32, 3,849.84 and 810.73 is: 1,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.32 : 3,849.84 = 810.73 : x
  2. Step 2: Convert to fraction form
    2,566.32/3,849.84 = 810.73/x
  3. Step 3: Cross multiply
    2,566.32x = 3,849.84 × 810.73
  4. Step 4: Simplify right side
    2,566.32x = 3,121,180.78
  5. Step 5: Solve for x
    x = 3,121,180.78/2,566.32
  6. Step 6: Final answer
    x = 1,216.21

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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.