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Finding the Fourth Proportional to 17,911.71, 26,867.63 and 5,431.84

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Solution

The fourth proportional to 17,911.71, 26,867.63 and 5,431.84 is: 8,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,911.71 : 26,867.63 = 5,431.84 : x
  2. Step 2: Convert to fraction form
    17,911.71/26,867.63 = 5,431.84/x
  3. Step 3: Cross multiply
    17,911.71x = 26,867.63 × 5,431.84
  4. Step 4: Simplify right side
    17,911.71x = 145,940,613.75
  5. Step 5: Solve for x
    x = 145,940,613.75/17,911.71
  6. Step 6: Final answer
    x = 8,147.78

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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.