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Finding the Fourth Proportional to 18,361.98, 27,531.79 and 7,826.11

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Solution

The fourth proportional to 18,361.98, 27,531.79 and 7,826.11 is: 11,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,361.98 : 27,531.79 = 7,826.11 : x
  2. Step 2: Convert to fraction form
    18,361.98/27,531.79 = 7,826.11/x
  3. Step 3: Cross multiply
    18,361.98x = 27,531.79 × 7,826.11
  4. Step 4: Simplify right side
    18,361.98x = 215,466,728.64
  5. Step 5: Solve for x
    x = 215,466,728.64/18,361.98
  6. Step 6: Final answer
    x = 11,734.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.