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Finding the Fourth Proportional to 15,092.41, 20,827.31 and 8,378.02

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Solution

The fourth proportional to 15,092.41, 20,827.31 and 8,378.02 is: 11,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.41 : 20,827.31 = 8,378.02 : x
  2. Step 2: Convert to fraction form
    15,092.41/20,827.31 = 8,378.02/x
  3. Step 3: Cross multiply
    15,092.41x = 20,827.31 × 8,378.02
  4. Step 4: Simplify right side
    15,092.41x = 174,491,619.73
  5. Step 5: Solve for x
    x = 174,491,619.73/15,092.41
  6. Step 6: Final answer
    x = 11,561.55

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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.