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Finding the Fourth Proportional to 10,299, 15,447.78 and 5,371.41

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Solution

The fourth proportional to 10,299, 15,447.78 and 5,371.41 is: 8,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299 : 15,447.78 = 5,371.41 : x
  2. Step 2: Convert to fraction form
    10,299/15,447.78 = 5,371.41/x
  3. Step 3: Cross multiply
    10,299x = 15,447.78 × 5,371.41
  4. Step 4: Simplify right side
    10,299x = 82,976,359.97
  5. Step 5: Solve for x
    x = 82,976,359.97/10,299
  6. Step 6: Final answer
    x = 8,056.74

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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.