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Finding the Fourth Proportional to 9,956.73, 14,945.28 and 8,219.82

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Solution

The fourth proportional to 9,956.73, 14,945.28 and 8,219.82 is: 12,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.73 : 14,945.28 = 8,219.82 : x
  2. Step 2: Convert to fraction form
    9,956.73/14,945.28 = 8,219.82/x
  3. Step 3: Cross multiply
    9,956.73x = 14,945.28 × 8,219.82
  4. Step 4: Simplify right side
    9,956.73x = 122,847,511.45
  5. Step 5: Solve for x
    x = 122,847,511.45/9,956.73
  6. Step 6: Final answer
    x = 12,338.14

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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.