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Finding the Fourth Proportional to 2,577.46, 3,866.49 and 821.85

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Solution

The fourth proportional to 2,577.46, 3,866.49 and 821.85 is: 1,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.46 : 3,866.49 = 821.85 : x
  2. Step 2: Convert to fraction form
    2,577.46/3,866.49 = 821.85/x
  3. Step 3: Cross multiply
    2,577.46x = 3,866.49 × 821.85
  4. Step 4: Simplify right side
    2,577.46x = 3,177,674.81
  5. Step 5: Solve for x
    x = 3,177,674.81/2,577.46
  6. Step 6: Final answer
    x = 1,232.87

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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.