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Finding the Fourth Proportional to 8,309.79, 12,448.22 and 6,849.90

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Solution

The fourth proportional to 8,309.79, 12,448.22 and 6,849.90 is: 10,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.79 : 12,448.22 = 6,849.90 : x
  2. Step 2: Convert to fraction form
    8,309.79/12,448.22 = 6,849.90/x
  3. Step 3: Cross multiply
    8,309.79x = 12,448.22 × 6,849.90
  4. Step 4: Simplify right side
    8,309.79x = 85,269,027.93
  5. Step 5: Solve for x
    x = 85,269,027.93/8,309.79
  6. Step 6: Final answer
    x = 10,261.27

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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.