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Finding the Fourth Proportional to 12,667.50, 18,993.06 and 6,828.30

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Solution

The fourth proportional to 12,667.50, 18,993.06 and 6,828.30 is: 10,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.50 : 18,993.06 = 6,828.30 : x
  2. Step 2: Convert to fraction form
    12,667.50/18,993.06 = 6,828.30/x
  3. Step 3: Cross multiply
    12,667.50x = 18,993.06 × 6,828.30
  4. Step 4: Simplify right side
    12,667.50x = 129,690,311.60
  5. Step 5: Solve for x
    x = 129,690,311.60/12,667.50
  6. Step 6: Final answer
    x = 10,238.04

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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.