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Finding the Fourth Proportional to 40,274, 55,578.12 and 22,610

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Solution

The fourth proportional to 40,274, 55,578.12 and 22,610 is: 31,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,274 : 55,578.12 = 22,610 : x
  2. Step 2: Convert to fraction form
    40,274/55,578.12 = 22,610/x
  3. Step 3: Cross multiply
    40,274x = 55,578.12 × 22,610
  4. Step 4: Simplify right side
    40,274x = 1,256,621,293.20
  5. Step 5: Solve for x
    x = 1,256,621,293.20/40,274
  6. Step 6: Final answer
    x = 31,201.80

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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.