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Finding the Fourth Proportional to 12,735.40, 19,107.16 and 8,084.40

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Solution

The fourth proportional to 12,735.40, 19,107.16 and 8,084.40 is: 12,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.40 : 19,107.16 = 8,084.40 : x
  2. Step 2: Convert to fraction form
    12,735.40/19,107.16 = 8,084.40/x
  3. Step 3: Cross multiply
    12,735.40x = 19,107.16 × 8,084.40
  4. Step 4: Simplify right side
    12,735.40x = 154,469,924.30
  5. Step 5: Solve for x
    x = 154,469,924.30/12,735.40
  6. Step 6: Final answer
    x = 12,129.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.