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Finding the Fourth Proportional to 38,414.40, 57,664.80 and 22,840.80

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Solution

The fourth proportional to 38,414.40, 57,664.80 and 22,840.80 is: 34,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.40 : 57,664.80 = 22,840.80 : x
  2. Step 2: Convert to fraction form
    38,414.40/57,664.80 = 22,840.80/x
  3. Step 3: Cross multiply
    38,414.40x = 57,664.80 × 22,840.80
  4. Step 4: Simplify right side
    38,414.40x = 1,317,110,163.84
  5. Step 5: Solve for x
    x = 1,317,110,163.84/38,414.40
  6. Step 6: Final answer
    x = 34,286.89

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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.