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Finding the Fourth Proportional to 20,175.60, 30,205.80 and 12,399.60

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Solution

The fourth proportional to 20,175.60, 30,205.80 and 12,399.60 is: 18,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.60 : 30,205.80 = 12,399.60 : x
  2. Step 2: Convert to fraction form
    20,175.60/30,205.80 = 12,399.60/x
  3. Step 3: Cross multiply
    20,175.60x = 30,205.80 × 12,399.60
  4. Step 4: Simplify right side
    20,175.60x = 374,539,837.68
  5. Step 5: Solve for x
    x = 374,539,837.68/20,175.60
  6. Step 6: Final answer
    x = 18,564.00

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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.