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Finding the Fourth Proportional to 20,073.88, 30,110.82 and 7,759

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Solution

The fourth proportional to 20,073.88, 30,110.82 and 7,759 is: 11,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.88 : 30,110.82 = 7,759 : x
  2. Step 2: Convert to fraction form
    20,073.88/30,110.82 = 7,759/x
  3. Step 3: Cross multiply
    20,073.88x = 30,110.82 × 7,759
  4. Step 4: Simplify right side
    20,073.88x = 233,629,852.38
  5. Step 5: Solve for x
    x = 233,629,852.38/20,073.88
  6. Step 6: Final answer
    x = 11,638.50

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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.