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Finding the Fourth Proportional to 18,449.41, 27,671.36 and 5,121

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Solution

The fourth proportional to 18,449.41, 27,671.36 and 5,121 is: 7,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,449.41 : 27,671.36 = 5,121 : x
  2. Step 2: Convert to fraction form
    18,449.41/27,671.36 = 5,121/x
  3. Step 3: Cross multiply
    18,449.41x = 27,671.36 × 5,121
  4. Step 4: Simplify right side
    18,449.41x = 141,705,034.56
  5. Step 5: Solve for x
    x = 141,705,034.56/18,449.41
  6. Step 6: Final answer
    x = 7,680.74

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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.