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Finding the Fourth Proportional to 21,197, 29,251.86 and 11,767.52

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Solution

The fourth proportional to 21,197, 29,251.86 and 11,767.52 is: 16,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197 : 29,251.86 = 11,767.52 : x
  2. Step 2: Convert to fraction form
    21,197/29,251.86 = 11,767.52/x
  3. Step 3: Cross multiply
    21,197x = 29,251.86 × 11,767.52
  4. Step 4: Simplify right side
    21,197x = 344,221,847.59
  5. Step 5: Solve for x
    x = 344,221,847.59/21,197
  6. Step 6: Final answer
    x = 16,239.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.