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Finding the Fourth Proportional to 2,657.49, 3,986.25 and 808.62

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Solution

The fourth proportional to 2,657.49, 3,986.25 and 808.62 is: 1,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.49 : 3,986.25 = 808.62 : x
  2. Step 2: Convert to fraction form
    2,657.49/3,986.25 = 808.62/x
  3. Step 3: Cross multiply
    2,657.49x = 3,986.25 × 808.62
  4. Step 4: Simplify right side
    2,657.49x = 3,223,361.48
  5. Step 5: Solve for x
    x = 3,223,361.48/2,657.49
  6. Step 6: Final answer
    x = 1,212.93

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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.