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Finding the Fourth Proportional to 40,384, 55,725.44 and 22,474.88

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Solution

The fourth proportional to 40,384, 55,725.44 and 22,474.88 is: 31,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,384 : 55,725.44 = 22,474.88 : x
  2. Step 2: Convert to fraction form
    40,384/55,725.44 = 22,474.88/x
  3. Step 3: Cross multiply
    40,384x = 55,725.44 × 22,474.88
  4. Step 4: Simplify right side
    40,384x = 1,252,422,576.95
  5. Step 5: Solve for x
    x = 1,252,422,576.95/40,384
  6. Step 6: Final answer
    x = 31,012.84

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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.