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Finding the Fourth Proportional to 6,451.70, 9,659.30 and 4,105.89

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Solution

The fourth proportional to 6,451.70, 9,659.30 and 4,105.89 is: 6,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.70 : 9,659.30 = 4,105.89 : x
  2. Step 2: Convert to fraction form
    6,451.70/9,659.30 = 4,105.89/x
  3. Step 3: Cross multiply
    6,451.70x = 9,659.30 × 4,105.89
  4. Step 4: Simplify right side
    6,451.70x = 39,660,002.75
  5. Step 5: Solve for x
    x = 39,660,002.75/6,451.70
  6. Step 6: Final answer
    x = 6,147.22

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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.