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Finding the Fourth Proportional to 20,992.16, 31,459.44 and 20,361.44

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Solution

The fourth proportional to 20,992.16, 31,459.44 and 20,361.44 is: 30,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.16 : 31,459.44 = 20,361.44 : x
  2. Step 2: Convert to fraction form
    20,992.16/31,459.44 = 20,361.44/x
  3. Step 3: Cross multiply
    20,992.16x = 31,459.44 × 20,361.44
  4. Step 4: Simplify right side
    20,992.16x = 640,559,499.99
  5. Step 5: Solve for x
    x = 640,559,499.99/20,992.16
  6. Step 6: Final answer
    x = 30,514.23

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1.5x scale

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.