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Finding the Fourth Proportional to 13,074, 18,042.12 and 7,186

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Solution

The fourth proportional to 13,074, 18,042.12 and 7,186 is: 9,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074 : 18,042.12 = 7,186 : x
  2. Step 2: Convert to fraction form
    13,074/18,042.12 = 7,186/x
  3. Step 3: Cross multiply
    13,074x = 18,042.12 × 7,186
  4. Step 4: Simplify right side
    13,074x = 129,650,674.32
  5. Step 5: Solve for x
    x = 129,650,674.32/13,074
  6. Step 6: Final answer
    x = 9,916.68

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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.