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Finding the Fourth Proportional to 20,220, 30,321.12 and 10,218.60

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Solution

The fourth proportional to 20,220, 30,321.12 and 10,218.60 is: 15,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220 : 30,321.12 = 10,218.60 : x
  2. Step 2: Convert to fraction form
    20,220/30,321.12 = 10,218.60/x
  3. Step 3: Cross multiply
    20,220x = 30,321.12 × 10,218.60
  4. Step 4: Simplify right side
    20,220x = 309,839,396.83
  5. Step 5: Solve for x
    x = 309,839,396.83/20,220
  6. Step 6: Final answer
    x = 15,323.41

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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.