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Finding the Fourth Proportional to 22,820.44, 31,489.08 and 12,747.60

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Solution

The fourth proportional to 22,820.44, 31,489.08 and 12,747.60 is: 17,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820.44 : 31,489.08 = 12,747.60 : x
  2. Step 2: Convert to fraction form
    22,820.44/31,489.08 = 12,747.60/x
  3. Step 3: Cross multiply
    22,820.44x = 31,489.08 × 12,747.60
  4. Step 4: Simplify right side
    22,820.44x = 401,410,196.21
  5. Step 5: Solve for x
    x = 401,410,196.21/22,820.44
  6. Step 6: Final answer
    x = 17,589.94

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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.