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Finding the Fourth Proportional to 11,993.79, 17,981.81 and 5,747.86

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Solution

The fourth proportional to 11,993.79, 17,981.81 and 5,747.86 is: 8,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.79 : 17,981.81 = 5,747.86 : x
  2. Step 2: Convert to fraction form
    11,993.79/17,981.81 = 5,747.86/x
  3. Step 3: Cross multiply
    11,993.79x = 17,981.81 × 5,747.86
  4. Step 4: Simplify right side
    11,993.79x = 103,356,897.23
  5. Step 5: Solve for x
    x = 103,356,897.23/11,993.79
  6. Step 6: Final answer
    x = 8,617.53

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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.