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Finding the Fourth Proportional to 20,031, 27,644.40 and 11,649.12

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Solution

The fourth proportional to 20,031, 27,644.40 and 11,649.12 is: 16,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031 : 27,644.40 = 11,649.12 : x
  2. Step 2: Convert to fraction form
    20,031/27,644.40 = 11,649.12/x
  3. Step 3: Cross multiply
    20,031x = 27,644.40 × 11,649.12
  4. Step 4: Simplify right side
    20,031x = 322,032,932.93
  5. Step 5: Solve for x
    x = 322,032,932.93/20,031
  6. Step 6: Final answer
    x = 16,076.73

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1.5x scale

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.