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Finding the Fourth Proportional to 20,874.33, 31,314.74 and 7,022.25

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Solution

The fourth proportional to 20,874.33, 31,314.74 and 7,022.25 is: 10,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.33 : 31,314.74 = 7,022.25 : x
  2. Step 2: Convert to fraction form
    20,874.33/31,314.74 = 7,022.25/x
  3. Step 3: Cross multiply
    20,874.33x = 31,314.74 × 7,022.25
  4. Step 4: Simplify right side
    20,874.33x = 219,899,897.85
  5. Step 5: Solve for x
    x = 219,899,897.85/20,874.33
  6. Step 6: Final answer
    x = 10,534.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.