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Finding the Fourth Proportional to 18,602.34, 27,941.67 and 12,286.52

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Solution

The fourth proportional to 18,602.34, 27,941.67 and 12,286.52 is: 18,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,602.34 : 27,941.67 = 12,286.52 : x
  2. Step 2: Convert to fraction form
    18,602.34/27,941.67 = 12,286.52/x
  3. Step 3: Cross multiply
    18,602.34x = 27,941.67 × 12,286.52
  4. Step 4: Simplify right side
    18,602.34x = 343,305,747.58
  5. Step 5: Solve for x
    x = 343,305,747.58/18,602.34
  6. Step 6: Final answer
    x = 18,454.98

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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.