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Finding the Fourth Proportional to 12,287, 18,402.80 and 8,605.66

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Solution

The fourth proportional to 12,287, 18,402.80 and 8,605.66 is: 12,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287 : 18,402.80 = 8,605.66 : x
  2. Step 2: Convert to fraction form
    12,287/18,402.80 = 8,605.66/x
  3. Step 3: Cross multiply
    12,287x = 18,402.80 × 8,605.66
  4. Step 4: Simplify right side
    12,287x = 158,368,239.85
  5. Step 5: Solve for x
    x = 158,368,239.85/12,287
  6. Step 6: Final answer
    x = 12,889.09

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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.