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Finding the Fourth Proportional to 20,217.35, 30,324.99 and 7,743.35

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Solution

The fourth proportional to 20,217.35, 30,324.99 and 7,743.35 is: 11,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.35 : 30,324.99 = 7,743.35 : x
  2. Step 2: Convert to fraction form
    20,217.35/30,324.99 = 7,743.35/x
  3. Step 3: Cross multiply
    20,217.35x = 30,324.99 × 7,743.35
  4. Step 4: Simplify right side
    20,217.35x = 234,817,011.32
  5. Step 5: Solve for x
    x = 234,817,011.32/20,217.35
  6. Step 6: Final answer
    x = 11,614.63

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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.