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Finding the Fourth Proportional to 5,205.38, 7,808.07 and 2,127.38

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Solution

The fourth proportional to 5,205.38, 7,808.07 and 2,127.38 is: 3,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.38 : 7,808.07 = 2,127.38 : x
  2. Step 2: Convert to fraction form
    5,205.38/7,808.07 = 2,127.38/x
  3. Step 3: Cross multiply
    5,205.38x = 7,808.07 × 2,127.38
  4. Step 4: Simplify right side
    5,205.38x = 16,610,692.92
  5. Step 5: Solve for x
    x = 16,610,692.92/5,205.38
  6. Step 6: Final answer
    x = 3,191.07

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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.