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Finding the Fourth Proportional to 12,203.46, 18,305.19 and 4,811.40

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Solution

The fourth proportional to 12,203.46, 18,305.19 and 4,811.40 is: 7,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.46 : 18,305.19 = 4,811.40 : x
  2. Step 2: Convert to fraction form
    12,203.46/18,305.19 = 4,811.40/x
  3. Step 3: Cross multiply
    12,203.46x = 18,305.19 × 4,811.40
  4. Step 4: Simplify right side
    12,203.46x = 88,073,591.17
  5. Step 5: Solve for x
    x = 88,073,591.17/12,203.46
  6. Step 6: Final answer
    x = 7,217.10

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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.