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Finding the Fourth Proportional to 2,181.76, 3,273.24 and 865.84

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Solution

The fourth proportional to 2,181.76, 3,273.24 and 865.84 is: 1,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.76 : 3,273.24 = 865.84 : x
  2. Step 2: Convert to fraction form
    2,181.76/3,273.24 = 865.84/x
  3. Step 3: Cross multiply
    2,181.76x = 3,273.24 × 865.84
  4. Step 4: Simplify right side
    2,181.76x = 2,834,102.12
  5. Step 5: Solve for x
    x = 2,834,102.12/2,181.76
  6. Step 6: Final answer
    x = 1,299.00

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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.