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Finding the Fourth Proportional to 18,642.16, 27,907.71 and 12,380.50

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Solution

The fourth proportional to 18,642.16, 27,907.71 and 12,380.50 is: 18,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.16 : 27,907.71 = 12,380.50 : x
  2. Step 2: Convert to fraction form
    18,642.16/27,907.71 = 12,380.50/x
  3. Step 3: Cross multiply
    18,642.16x = 27,907.71 × 12,380.50
  4. Step 4: Simplify right side
    18,642.16x = 345,511,403.66
  5. Step 5: Solve for x
    x = 345,511,403.66/18,642.16
  6. Step 6: Final answer
    x = 18,533.87

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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.