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Finding the Fourth Proportional to 3,692.79, 5,538.65 and 1,383.75

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Solution

The fourth proportional to 3,692.79, 5,538.65 and 1,383.75 is: 2,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.79 : 5,538.65 = 1,383.75 : x
  2. Step 2: Convert to fraction form
    3,692.79/5,538.65 = 1,383.75/x
  3. Step 3: Cross multiply
    3,692.79x = 5,538.65 × 1,383.75
  4. Step 4: Simplify right side
    3,692.79x = 7,664,100.02
  5. Step 5: Solve for x
    x = 7,664,100.02/3,692.79
  6. Step 6: Final answer
    x = 2,075.42

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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.