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Finding the Fourth Proportional to 3,869.90, 5,805.04 and 1,096.78

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Solution

The fourth proportional to 3,869.90, 5,805.04 and 1,096.78 is: 1,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.90 : 5,805.04 = 1,096.78 : x
  2. Step 2: Convert to fraction form
    3,869.90/5,805.04 = 1,096.78/x
  3. Step 3: Cross multiply
    3,869.90x = 5,805.04 × 1,096.78
  4. Step 4: Simplify right side
    3,869.90x = 6,366,851.77
  5. Step 5: Solve for x
    x = 6,366,851.77/3,869.90
  6. Step 6: Final answer
    x = 1,645.22

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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.