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Finding the Fourth Proportional to 10,108.92, 13,944.96 and 8,222.52

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Solution

The fourth proportional to 10,108.92, 13,944.96 and 8,222.52 is: 11,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.92 : 13,944.96 = 8,222.52 : x
  2. Step 2: Convert to fraction form
    10,108.92/13,944.96 = 8,222.52/x
  3. Step 3: Cross multiply
    10,108.92x = 13,944.96 × 8,222.52
  4. Step 4: Simplify right side
    10,108.92x = 114,662,712.50
  5. Step 5: Solve for x
    x = 114,662,712.50/10,108.92
  6. Step 6: Final answer
    x = 11,342.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.