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Finding the Fourth Proportional to 8,548.78, 12,822.11 and 2,309.30

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Solution

The fourth proportional to 8,548.78, 12,822.11 and 2,309.30 is: 3,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.78 : 12,822.11 = 2,309.30 : x
  2. Step 2: Convert to fraction form
    8,548.78/12,822.11 = 2,309.30/x
  3. Step 3: Cross multiply
    8,548.78x = 12,822.11 × 2,309.30
  4. Step 4: Simplify right side
    8,548.78x = 29,610,098.62
  5. Step 5: Solve for x
    x = 29,610,098.62/8,548.78
  6. Step 6: Final answer
    x = 3,463.66

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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.