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Finding the Fourth Proportional to 12,101.82, 16,702.32 and 7,388.84

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Solution

The fourth proportional to 12,101.82, 16,702.32 and 7,388.84 is: 10,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.82 : 16,702.32 = 7,388.84 : x
  2. Step 2: Convert to fraction form
    12,101.82/16,702.32 = 7,388.84/x
  3. Step 3: Cross multiply
    12,101.82x = 16,702.32 × 7,388.84
  4. Step 4: Simplify right side
    12,101.82x = 123,410,770.11
  5. Step 5: Solve for x
    x = 123,410,770.11/12,101.82
  6. Step 6: Final answer
    x = 10,197.70

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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.