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Finding the Fourth Proportional to 3,568.62, 5,353.80 and 1,228.66

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Solution

The fourth proportional to 3,568.62, 5,353.80 and 1,228.66 is: 1,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.62 : 5,353.80 = 1,228.66 : x
  2. Step 2: Convert to fraction form
    3,568.62/5,353.80 = 1,228.66/x
  3. Step 3: Cross multiply
    3,568.62x = 5,353.80 × 1,228.66
  4. Step 4: Simplify right side
    3,568.62x = 6,577,999.91
  5. Step 5: Solve for x
    x = 6,577,999.91/3,568.62
  6. Step 6: Final answer
    x = 1,843.29

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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.