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Finding the Fourth Proportional to 15,877.71, 21,911.97 and 9,163.21

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Solution

The fourth proportional to 15,877.71, 21,911.97 and 9,163.21 is: 12,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.71 : 21,911.97 = 9,163.21 : x
  2. Step 2: Convert to fraction form
    15,877.71/21,911.97 = 9,163.21/x
  3. Step 3: Cross multiply
    15,877.71x = 21,911.97 × 9,163.21
  4. Step 4: Simplify right side
    15,877.71x = 200,783,982.62
  5. Step 5: Solve for x
    x = 200,783,982.62/15,877.71
  6. Step 6: Final answer
    x = 12,645.65

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1.5x scale

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.