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Finding the Fourth Proportional to 12,307.14, 16,982.46 and 6,928.74

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Solution

The fourth proportional to 12,307.14, 16,982.46 and 6,928.74 is: 9,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.14 : 16,982.46 = 6,928.74 : x
  2. Step 2: Convert to fraction form
    12,307.14/16,982.46 = 6,928.74/x
  3. Step 3: Cross multiply
    12,307.14x = 16,982.46 × 6,928.74
  4. Step 4: Simplify right side
    12,307.14x = 117,667,049.90
  5. Step 5: Solve for x
    x = 117,667,049.90/12,307.14
  6. Step 6: Final answer
    x = 9,560.88

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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.