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Finding the Fourth Proportional to 20,216.35, 30,323.49 and 7,742.35

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Solution

The fourth proportional to 20,216.35, 30,323.49 and 7,742.35 is: 11,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.35 : 30,323.49 = 7,742.35 : x
  2. Step 2: Convert to fraction form
    20,216.35/30,323.49 = 7,742.35/x
  3. Step 3: Cross multiply
    20,216.35x = 30,323.49 × 7,742.35
  4. Step 4: Simplify right side
    20,216.35x = 234,775,072.80
  5. Step 5: Solve for x
    x = 234,775,072.80/20,216.35
  6. Step 6: Final answer
    x = 11,613.13

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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.