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Finding the Fourth Proportional to 38,493.40, 57,788.70 and 20,738.20

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Solution

The fourth proportional to 38,493.40, 57,788.70 and 20,738.20 is: 31,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.40 : 57,788.70 = 20,738.20 : x
  2. Step 2: Convert to fraction form
    38,493.40/57,788.70 = 20,738.20/x
  3. Step 3: Cross multiply
    38,493.40x = 57,788.70 × 20,738.20
  4. Step 4: Simplify right side
    38,493.40x = 1,198,433,618.34
  5. Step 5: Solve for x
    x = 1,198,433,618.34/38,493.40
  6. Step 6: Final answer
    x = 31,133.48

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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.