Home / 21,322-31,939.32-10,777.24

Finding the Fourth Proportional to 21,322, 31,939.32 and 10,777.24

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Solution

The fourth proportional to 21,322, 31,939.32 and 10,777.24 is: 16,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322 : 31,939.32 = 10,777.24 : x
  2. Step 2: Convert to fraction form
    21,322/31,939.32 = 10,777.24/x
  3. Step 3: Cross multiply
    21,322x = 31,939.32 × 10,777.24
  4. Step 4: Simplify right side
    21,322x = 344,217,717.08
  5. Step 5: Solve for x
    x = 344,217,717.08/21,322
  6. Step 6: Final answer
    x = 16,143.78

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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.