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Finding the Fourth Proportional to 40,228, 55,515.28 and 22,564

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Solution

The fourth proportional to 40,228, 55,515.28 and 22,564 is: 31,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,228 : 55,515.28 = 22,564 : x
  2. Step 2: Convert to fraction form
    40,228/55,515.28 = 22,564/x
  3. Step 3: Cross multiply
    40,228x = 55,515.28 × 22,564
  4. Step 4: Simplify right side
    40,228x = 1,252,646,777.92
  5. Step 5: Solve for x
    x = 1,252,646,777.92/40,228
  6. Step 6: Final answer
    x = 31,138.68

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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.