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Finding the Fourth Proportional to 11,487.84, 17,231.84 and 5,246.56

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Solution

The fourth proportional to 11,487.84, 17,231.84 and 5,246.56 is: 7,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.84 : 17,231.84 = 5,246.56 : x
  2. Step 2: Convert to fraction form
    11,487.84/17,231.84 = 5,246.56/x
  3. Step 3: Cross multiply
    11,487.84x = 17,231.84 × 5,246.56
  4. Step 4: Simplify right side
    11,487.84x = 90,407,882.47
  5. Step 5: Solve for x
    x = 90,407,882.47/11,487.84
  6. Step 6: Final answer
    x = 7,869.88

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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.