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Finding the Fourth Proportional to 19,181.96, 26,471.28 and 11,224.36

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Solution

The fourth proportional to 19,181.96, 26,471.28 and 11,224.36 is: 15,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,181.96 : 26,471.28 = 11,224.36 : x
  2. Step 2: Convert to fraction form
    19,181.96/26,471.28 = 11,224.36/x
  3. Step 3: Cross multiply
    19,181.96x = 26,471.28 × 11,224.36
  4. Step 4: Simplify right side
    19,181.96x = 297,123,176.38
  5. Step 5: Solve for x
    x = 297,123,176.38/19,181.96
  6. Step 6: Final answer
    x = 15,489.72

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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.