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Finding the Fourth Proportional to 11,840.81, 17,736.62 and 5,605.81

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Solution

The fourth proportional to 11,840.81, 17,736.62 and 5,605.81 is: 8,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.81 : 17,736.62 = 5,605.81 : x
  2. Step 2: Convert to fraction form
    11,840.81/17,736.62 = 5,605.81/x
  3. Step 3: Cross multiply
    11,840.81x = 17,736.62 × 5,605.81
  4. Step 4: Simplify right side
    11,840.81x = 99,428,049.39
  5. Step 5: Solve for x
    x = 99,428,049.39/11,840.81
  6. Step 6: Final answer
    x = 8,397.07

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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.