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Finding the Fourth Proportional to 4,221.96, 6,335.10 and 1,626.60

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Solution

The fourth proportional to 4,221.96, 6,335.10 and 1,626.60 is: 2,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.96 : 6,335.10 = 1,626.60 : x
  2. Step 2: Convert to fraction form
    4,221.96/6,335.10 = 1,626.60/x
  3. Step 3: Cross multiply
    4,221.96x = 6,335.10 × 1,626.60
  4. Step 4: Simplify right side
    4,221.96x = 10,304,673.66
  5. Step 5: Solve for x
    x = 10,304,673.66/4,221.96
  6. Step 6: Final answer
    x = 2,440.73

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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.