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Finding the Fourth Proportional to 3,692.00, 5,538 and 1,381.88

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Solution

The fourth proportional to 3,692.00, 5,538 and 1,381.88 is: 2,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.00 : 5,538 = 1,381.88 : x
  2. Step 2: Convert to fraction form
    3,692.00/5,538 = 1,381.88/x
  3. Step 3: Cross multiply
    3,692.00x = 5,538 × 1,381.88
  4. Step 4: Simplify right side
    3,692.00x = 7,652,823.75
  5. Step 5: Solve for x
    x = 7,652,823.75/3,692.00
  6. Step 6: Final answer
    x = 2,072.82

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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.