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Finding the Fourth Proportional to 11,891.77, 17,837.81 and 4,499.71

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Solution

The fourth proportional to 11,891.77, 17,837.81 and 4,499.71 is: 6,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.77 : 17,837.81 = 4,499.71 : x
  2. Step 2: Convert to fraction form
    11,891.77/17,837.81 = 4,499.71/x
  3. Step 3: Cross multiply
    11,891.77x = 17,837.81 × 4,499.71
  4. Step 4: Simplify right side
    11,891.77x = 80,264,972.04
  5. Step 5: Solve for x
    x = 80,264,972.04/11,891.77
  6. Step 6: Final answer
    x = 6,749.62

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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.