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Finding the Fourth Proportional to 12,381.40, 18,563.90 and 6,837.40

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Solution

The fourth proportional to 12,381.40, 18,563.90 and 6,837.40 is: 10,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.40 : 18,563.90 = 6,837.40 : x
  2. Step 2: Convert to fraction form
    12,381.40/18,563.90 = 6,837.40/x
  3. Step 3: Cross multiply
    12,381.40x = 18,563.90 × 6,837.40
  4. Step 4: Simplify right side
    12,381.40x = 126,928,809.86
  5. Step 5: Solve for x
    x = 126,928,809.86/12,381.40
  6. Step 6: Final answer
    x = 10,251.57

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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.