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Finding the Fourth Proportional to 12,964.64, 17,894.14 and 9,183.84

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Solution

The fourth proportional to 12,964.64, 17,894.14 and 9,183.84 is: 12,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.64 : 17,894.14 = 9,183.84 : x
  2. Step 2: Convert to fraction form
    12,964.64/17,894.14 = 9,183.84/x
  3. Step 3: Cross multiply
    12,964.64x = 17,894.14 × 9,183.84
  4. Step 4: Simplify right side
    12,964.64x = 164,336,918.70
  5. Step 5: Solve for x
    x = 164,336,918.70/12,964.64
  6. Step 6: Final answer
    x = 12,675.78

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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.