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Finding the Fourth Proportional to 40,856.82, 61,287.24 and 11,274

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Solution

The fourth proportional to 40,856.82, 61,287.24 and 11,274 is: 16,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,856.82 : 61,287.24 = 11,274 : x
  2. Step 2: Convert to fraction form
    40,856.82/61,287.24 = 11,274/x
  3. Step 3: Cross multiply
    40,856.82x = 61,287.24 × 11,274
  4. Step 4: Simplify right side
    40,856.82x = 690,952,343.76
  5. Step 5: Solve for x
    x = 690,952,343.76/40,856.82
  6. Step 6: Final answer
    x = 16,911.55

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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.