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Finding the Fourth Proportional to 15,910.92, 21,955.78 and 9,196.98

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Solution

The fourth proportional to 15,910.92, 21,955.78 and 9,196.98 is: 12,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,910.92 : 21,955.78 = 9,196.98 : x
  2. Step 2: Convert to fraction form
    15,910.92/21,955.78 = 9,196.98/x
  3. Step 3: Cross multiply
    15,910.92x = 21,955.78 × 9,196.98
  4. Step 4: Simplify right side
    15,910.92x = 201,926,869.54
  5. Step 5: Solve for x
    x = 201,926,869.54/15,910.92
  6. Step 6: Final answer
    x = 12,691.09

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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.