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Finding the Fourth Proportional to 31,797.10, 43,871.10 and 19,872.55

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Solution

The fourth proportional to 31,797.10, 43,871.10 and 19,872.55 is: 27,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.10 : 43,871.10 = 19,872.55 : x
  2. Step 2: Convert to fraction form
    31,797.10/43,871.10 = 19,872.55/x
  3. Step 3: Cross multiply
    31,797.10x = 43,871.10 × 19,872.55
  4. Step 4: Simplify right side
    31,797.10x = 871,830,408.95
  5. Step 5: Solve for x
    x = 871,830,408.95/31,797.10
  6. Step 6: Final answer
    x = 27,418.56

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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.