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Finding the Fourth Proportional to 18,138.69, 27,208.17 and 4,991.78

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Solution

The fourth proportional to 18,138.69, 27,208.17 and 4,991.78 is: 7,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.69 : 27,208.17 = 4,991.78 : x
  2. Step 2: Convert to fraction form
    18,138.69/27,208.17 = 4,991.78/x
  3. Step 3: Cross multiply
    18,138.69x = 27,208.17 × 4,991.78
  4. Step 4: Simplify right side
    18,138.69x = 135,817,266.86
  5. Step 5: Solve for x
    x = 135,817,266.86/18,138.69
  6. Step 6: Final answer
    x = 7,487.71

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1.5x scale

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.