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Finding the Fourth Proportional to 12,107.91, 16,724.42 and 9,257.99

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Solution

The fourth proportional to 12,107.91, 16,724.42 and 9,257.99 is: 12,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.91 : 16,724.42 = 9,257.99 : x
  2. Step 2: Convert to fraction form
    12,107.91/16,724.42 = 9,257.99/x
  3. Step 3: Cross multiply
    12,107.91x = 16,724.42 × 9,257.99
  4. Step 4: Simplify right side
    12,107.91x = 154,834,383.20
  5. Step 5: Solve for x
    x = 154,834,383.20/12,107.91
  6. Step 6: Final answer
    x = 12,787.87

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1.5x scale

Why These Related Problems?

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