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Finding the Fourth Proportional to 12,074, 18,112.08 and 3,866

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Solution

The fourth proportional to 12,074, 18,112.08 and 3,866 is: 5,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074 : 18,112.08 = 3,866 : x
  2. Step 2: Convert to fraction form
    12,074/18,112.08 = 3,866/x
  3. Step 3: Cross multiply
    12,074x = 18,112.08 × 3,866
  4. Step 4: Simplify right side
    12,074x = 70,021,301.28
  5. Step 5: Solve for x
    x = 70,021,301.28/12,074
  6. Step 6: Final answer
    x = 5,799.35

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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.