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Finding the Fourth Proportional to 13,166, 18,169.08 and 7,278

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Solution

The fourth proportional to 13,166, 18,169.08 and 7,278 is: 10,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166 : 18,169.08 = 7,278 : x
  2. Step 2: Convert to fraction form
    13,166/18,169.08 = 7,278/x
  3. Step 3: Cross multiply
    13,166x = 18,169.08 × 7,278
  4. Step 4: Simplify right side
    13,166x = 132,234,564.24
  5. Step 5: Solve for x
    x = 132,234,564.24/13,166
  6. Step 6: Final answer
    x = 10,043.64

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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.