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Finding the Fourth Proportional to 12,147, 16,772.98 and 8,181.24

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Solution

The fourth proportional to 12,147, 16,772.98 and 8,181.24 is: 11,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147 : 16,772.98 = 8,181.24 : x
  2. Step 2: Convert to fraction form
    12,147/16,772.98 = 8,181.24/x
  3. Step 3: Cross multiply
    12,147x = 16,772.98 × 8,181.24
  4. Step 4: Simplify right side
    12,147x = 137,223,774.90
  5. Step 5: Solve for x
    x = 137,223,774.90/12,147
  6. Step 6: Final answer
    x = 11,296.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.