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Finding the Fourth Proportional to 19,778.20, 29,609.70 and 19,202.20

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Solution

The fourth proportional to 19,778.20, 29,609.70 and 19,202.20 is: 28,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.20 : 29,609.70 = 19,202.20 : x
  2. Step 2: Convert to fraction form
    19,778.20/29,609.70 = 19,202.20/x
  3. Step 3: Cross multiply
    19,778.20x = 29,609.70 × 19,202.20
  4. Step 4: Simplify right side
    19,778.20x = 568,571,381.34
  5. Step 5: Solve for x
    x = 568,571,381.34/19,778.20
  6. Step 6: Final answer
    x = 28,747.38

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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.