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Finding the Fourth Proportional to 18,625.32, 27,932.05 and 6,143.02

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Solution

The fourth proportional to 18,625.32, 27,932.05 and 6,143.02 is: 9,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,625.32 : 27,932.05 = 6,143.02 : x
  2. Step 2: Convert to fraction form
    18,625.32/27,932.05 = 6,143.02/x
  3. Step 3: Cross multiply
    18,625.32x = 27,932.05 × 6,143.02
  4. Step 4: Simplify right side
    18,625.32x = 171,587,141.79
  5. Step 5: Solve for x
    x = 171,587,141.79/18,625.32
  6. Step 6: Final answer
    x = 9,212.57

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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.