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Finding the Fourth Proportional to 40,390, 55,738.24 and 22,726

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Solution

The fourth proportional to 40,390, 55,738.24 and 22,726 is: 31,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,390 : 55,738.24 = 22,726 : x
  2. Step 2: Convert to fraction form
    40,390/55,738.24 = 22,726/x
  3. Step 3: Cross multiply
    40,390x = 55,738.24 × 22,726
  4. Step 4: Simplify right side
    40,390x = 1,266,707,242.24
  5. Step 5: Solve for x
    x = 1,266,707,242.24/40,390
  6. Step 6: Final answer
    x = 31,361.90

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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.