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Finding the Fourth Proportional to 12,307.17, 16,982.05 and 6,928.83

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Solution

The fourth proportional to 12,307.17, 16,982.05 and 6,928.83 is: 9,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.17 : 16,982.05 = 6,928.83 : x
  2. Step 2: Convert to fraction form
    12,307.17/16,982.05 = 6,928.83/x
  3. Step 3: Cross multiply
    12,307.17x = 16,982.05 × 6,928.83
  4. Step 4: Simplify right side
    12,307.17x = 117,665,737.50
  5. Step 5: Solve for x
    x = 117,665,737.50/12,307.17
  6. Step 6: Final answer
    x = 9,560.75

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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.