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Finding the Fourth Proportional to 8,370.12, 12,551.97 and 2,821.97

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Solution

The fourth proportional to 8,370.12, 12,551.97 and 2,821.97 is: 4,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.12 : 12,551.97 = 2,821.97 : x
  2. Step 2: Convert to fraction form
    8,370.12/12,551.97 = 2,821.97/x
  3. Step 3: Cross multiply
    8,370.12x = 12,551.97 × 2,821.97
  4. Step 4: Simplify right side
    8,370.12x = 35,421,220.02
  5. Step 5: Solve for x
    x = 35,421,220.02/8,370.12
  6. Step 6: Final answer
    x = 4,231.87

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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.