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Finding the Fourth Proportional to 18,732.84, 25,847.94 and 12,105

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Solution

The fourth proportional to 18,732.84, 25,847.94 and 12,105 is: 16,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,732.84 : 25,847.94 = 12,105 : x
  2. Step 2: Convert to fraction form
    18,732.84/25,847.94 = 12,105/x
  3. Step 3: Cross multiply
    18,732.84x = 25,847.94 × 12,105
  4. Step 4: Simplify right side
    18,732.84x = 312,889,313.70
  5. Step 5: Solve for x
    x = 312,889,313.70/18,732.84
  6. Step 6: Final answer
    x = 16,702.72

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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.