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Finding the Fourth Proportional to 8,270.67, 12,402.08 and 3,207.22

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Solution

The fourth proportional to 8,270.67, 12,402.08 and 3,207.22 is: 4,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.67 : 12,402.08 = 3,207.22 : x
  2. Step 2: Convert to fraction form
    8,270.67/12,402.08 = 3,207.22/x
  3. Step 3: Cross multiply
    8,270.67x = 12,402.08 × 3,207.22
  4. Step 4: Simplify right side
    8,270.67x = 39,776,182.98
  5. Step 5: Solve for x
    x = 39,776,182.98/8,270.67
  6. Step 6: Final answer
    x = 4,809.31

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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.