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Finding the Fourth Proportional to 22,438.80, 33,659.80 and 6,856.40

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Solution

The fourth proportional to 22,438.80, 33,659.80 and 6,856.40 is: 10,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.80 : 33,659.80 = 6,856.40 : x
  2. Step 2: Convert to fraction form
    22,438.80/33,659.80 = 6,856.40/x
  3. Step 3: Cross multiply
    22,438.80x = 33,659.80 × 6,856.40
  4. Step 4: Simplify right side
    22,438.80x = 230,785,052.72
  5. Step 5: Solve for x
    x = 230,785,052.72/22,438.80
  6. Step 6: Final answer
    x = 10,285.09

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