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Finding the Fourth Proportional to 2,577.42, 3,866.42 and 821.80

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Solution

The fourth proportional to 2,577.42, 3,866.42 and 821.80 is: 1,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.42 : 3,866.42 = 821.80 : x
  2. Step 2: Convert to fraction form
    2,577.42/3,866.42 = 821.80/x
  3. Step 3: Cross multiply
    2,577.42x = 3,866.42 × 821.80
  4. Step 4: Simplify right side
    2,577.42x = 3,177,423.96
  5. Step 5: Solve for x
    x = 3,177,423.96/2,577.42
  6. Step 6: Final answer
    x = 1,232.79

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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.