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Finding the Fourth Proportional to 12,288, 18,404.30 and 8,606.66

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Solution

The fourth proportional to 12,288, 18,404.30 and 8,606.66 is: 12,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288 : 18,404.30 = 8,606.66 : x
  2. Step 2: Convert to fraction form
    12,288/18,404.30 = 8,606.66/x
  3. Step 3: Cross multiply
    12,288x = 18,404.30 × 8,606.66
  4. Step 4: Simplify right side
    12,288x = 158,399,552.64
  5. Step 5: Solve for x
    x = 158,399,552.64/12,288
  6. Step 6: Final answer
    x = 12,890.59

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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.