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Finding the Fourth Proportional to 11,601.39, 17,404 and 3,808.38

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Solution

The fourth proportional to 11,601.39, 17,404 and 3,808.38 is: 5,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.39 : 17,404 = 3,808.38 : x
  2. Step 2: Convert to fraction form
    11,601.39/17,404 = 3,808.38/x
  3. Step 3: Cross multiply
    11,601.39x = 17,404 × 3,808.38
  4. Step 4: Simplify right side
    11,601.39x = 66,281,045.52
  5. Step 5: Solve for x
    x = 66,281,045.52/11,601.39
  6. Step 6: Final answer
    x = 5,713.20

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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.