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Finding the Fourth Proportional to 20,551.88, 30,829.19 and 7,223.27

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Solution

The fourth proportional to 20,551.88, 30,829.19 and 7,223.27 is: 10,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.88 : 30,829.19 = 7,223.27 : x
  2. Step 2: Convert to fraction form
    20,551.88/30,829.19 = 7,223.27/x
  3. Step 3: Cross multiply
    20,551.88x = 30,829.19 × 7,223.27
  4. Step 4: Simplify right side
    20,551.88x = 222,687,372.99
  5. Step 5: Solve for x
    x = 222,687,372.99/20,551.88
  6. Step 6: Final answer
    x = 10,835.38

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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.