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Finding the Fourth Proportional to 15,212, 20,993.01 and 8,497.91

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Solution

The fourth proportional to 15,212, 20,993.01 and 8,497.91 is: 11,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212 : 20,993.01 = 8,497.91 : x
  2. Step 2: Convert to fraction form
    15,212/20,993.01 = 8,497.91/x
  3. Step 3: Cross multiply
    15,212x = 20,993.01 × 8,497.91
  4. Step 4: Simplify right side
    15,212x = 178,396,709.61
  5. Step 5: Solve for x
    x = 178,396,709.61/15,212
  6. Step 6: Final answer
    x = 11,727.37

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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.