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Finding the Fourth Proportional to 2,657.40, 3,986.22 and 808.78

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Solution

The fourth proportional to 2,657.40, 3,986.22 and 808.78 is: 1,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.40 : 3,986.22 = 808.78 : x
  2. Step 2: Convert to fraction form
    2,657.40/3,986.22 = 808.78/x
  3. Step 3: Cross multiply
    2,657.40x = 3,986.22 × 808.78
  4. Step 4: Simplify right side
    2,657.40x = 3,223,975.01
  5. Step 5: Solve for x
    x = 3,223,975.01/2,657.40
  6. Step 6: Final answer
    x = 1,213.21

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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.