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Finding the Fourth Proportional to 19,974, 27,564.12 and 11,142

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Solution

The fourth proportional to 19,974, 27,564.12 and 11,142 is: 15,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974 : 27,564.12 = 11,142 : x
  2. Step 2: Convert to fraction form
    19,974/27,564.12 = 11,142/x
  3. Step 3: Cross multiply
    19,974x = 27,564.12 × 11,142
  4. Step 4: Simplify right side
    19,974x = 307,119,425.04
  5. Step 5: Solve for x
    x = 307,119,425.04/19,974
  6. Step 6: Final answer
    x = 15,375.96

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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.