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Finding the Fourth Proportional to 20,408.73, 30,624.78 and 7,927.14

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Solution

The fourth proportional to 20,408.73, 30,624.78 and 7,927.14 is: 11,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.73 : 30,624.78 = 7,927.14 : x
  2. Step 2: Convert to fraction form
    20,408.73/30,624.78 = 7,927.14/x
  3. Step 3: Cross multiply
    20,408.73x = 30,624.78 × 7,927.14
  4. Step 4: Simplify right side
    20,408.73x = 242,766,918.53
  5. Step 5: Solve for x
    x = 242,766,918.53/20,408.73
  6. Step 6: Final answer
    x = 11,895.25

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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.