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Finding the Fourth Proportional to 21,325.11, 31,921.09 and 15,709.11

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Solution

The fourth proportional to 21,325.11, 31,921.09 and 15,709.11 is: 23,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,325.11 : 31,921.09 = 15,709.11 : x
  2. Step 2: Convert to fraction form
    21,325.11/31,921.09 = 15,709.11/x
  3. Step 3: Cross multiply
    21,325.11x = 31,921.09 × 15,709.11
  4. Step 4: Simplify right side
    21,325.11x = 501,451,914.13
  5. Step 5: Solve for x
    x = 501,451,914.13/21,325.11
  6. Step 6: Final answer
    x = 23,514.62

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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.