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Finding the Fourth Proportional to 20,083.84, 30,123.46 and 5,293.92

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Solution

The fourth proportional to 20,083.84, 30,123.46 and 5,293.92 is: 7,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.84 : 30,123.46 = 5,293.92 : x
  2. Step 2: Convert to fraction form
    20,083.84/30,123.46 = 5,293.92/x
  3. Step 3: Cross multiply
    20,083.84x = 30,123.46 × 5,293.92
  4. Step 4: Simplify right side
    20,083.84x = 159,471,187.36
  5. Step 5: Solve for x
    x = 159,471,187.36/20,083.84
  6. Step 6: Final answer
    x = 7,940.27

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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.