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Finding the Fourth Proportional to 38,390.40, 57,581.82 and 13,425.84

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Solution

The fourth proportional to 38,390.40, 57,581.82 and 13,425.84 is: 20,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,390.40 : 57,581.82 = 13,425.84 : x
  2. Step 2: Convert to fraction form
    38,390.40/57,581.82 = 13,425.84/x
  3. Step 3: Cross multiply
    38,390.40x = 57,581.82 × 13,425.84
  4. Step 4: Simplify right side
    38,390.40x = 773,084,302.23
  5. Step 5: Solve for x
    x = 773,084,302.23/38,390.40
  6. Step 6: Final answer
    x = 20,137.44

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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.