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Finding the Fourth Proportional to 22,188, 30,618.96 and 13,245.60

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Solution

The fourth proportional to 22,188, 30,618.96 and 13,245.60 is: 18,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,188 : 30,618.96 = 13,245.60 : x
  2. Step 2: Convert to fraction form
    22,188/30,618.96 = 13,245.60/x
  3. Step 3: Cross multiply
    22,188x = 30,618.96 × 13,245.60
  4. Step 4: Simplify right side
    22,188x = 405,566,496.58
  5. Step 5: Solve for x
    x = 405,566,496.58/22,188
  6. Step 6: Final answer
    x = 18,278.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.