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Finding the Fourth Proportional to 15,997.80, 23,978.01 and 12,036.33

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Solution

The fourth proportional to 15,997.80, 23,978.01 and 12,036.33 is: 18,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.80 : 23,978.01 = 12,036.33 : x
  2. Step 2: Convert to fraction form
    15,997.80/23,978.01 = 12,036.33/x
  3. Step 3: Cross multiply
    15,997.80x = 23,978.01 × 12,036.33
  4. Step 4: Simplify right side
    15,997.80x = 288,607,241.10
  5. Step 5: Solve for x
    x = 288,607,241.10/15,997.80
  6. Step 6: Final answer
    x = 18,040.43

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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.