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Finding the Fourth Proportional to 38,703.80, 57,982.80 and 19,919.90

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Solution

The fourth proportional to 38,703.80, 57,982.80 and 19,919.90 is: 29,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,703.80 : 57,982.80 = 19,919.90 : x
  2. Step 2: Convert to fraction form
    38,703.80/57,982.80 = 19,919.90/x
  3. Step 3: Cross multiply
    38,703.80x = 57,982.80 × 19,919.90
  4. Step 4: Simplify right side
    38,703.80x = 1,155,011,577.72
  5. Step 5: Solve for x
    x = 1,155,011,577.72/38,703.80
  6. Step 6: Final answer
    x = 29,842.33

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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.