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Finding the Fourth Proportional to 2,577.12, 3,865.96 and 821.72

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Solution

The fourth proportional to 2,577.12, 3,865.96 and 821.72 is: 1,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.12 : 3,865.96 = 821.72 : x
  2. Step 2: Convert to fraction form
    2,577.12/3,865.96 = 821.72/x
  3. Step 3: Cross multiply
    2,577.12x = 3,865.96 × 821.72
  4. Step 4: Simplify right side
    2,577.12x = 3,176,719.38
  5. Step 5: Solve for x
    x = 3,176,719.38/2,577.12
  6. Step 6: Final answer
    x = 1,232.66

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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.