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Finding the Fourth Proportional to 38,214.40, 57,364.80 and 22,640.80

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Solution

The fourth proportional to 38,214.40, 57,364.80 and 22,640.80 is: 33,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,214.40 : 57,364.80 = 22,640.80 : x
  2. Step 2: Convert to fraction form
    38,214.40/57,364.80 = 22,640.80/x
  3. Step 3: Cross multiply
    38,214.40x = 57,364.80 × 22,640.80
  4. Step 4: Simplify right side
    38,214.40x = 1,298,784,963.84
  5. Step 5: Solve for x
    x = 1,298,784,963.84/38,214.40
  6. Step 6: Final answer
    x = 33,986.79

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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.