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Finding the Fourth Proportional to 8,267.49, 12,398.00 and 3,647.25

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Solution

The fourth proportional to 8,267.49, 12,398.00 and 3,647.25 is: 5,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.49 : 12,398.00 = 3,647.25 : x
  2. Step 2: Convert to fraction form
    8,267.49/12,398.00 = 3,647.25/x
  3. Step 3: Cross multiply
    8,267.49x = 12,398.00 × 3,647.25
  4. Step 4: Simplify right side
    8,267.49x = 45,218,587.26
  5. Step 5: Solve for x
    x = 45,218,587.26/8,267.49
  6. Step 6: Final answer
    x = 5,469.45

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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.