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Finding the Fourth Proportional to 3,692.52, 5,537.18 and 1,383.40

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Solution

The fourth proportional to 3,692.52, 5,537.18 and 1,383.40 is: 2,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.52 : 5,537.18 = 1,383.40 : x
  2. Step 2: Convert to fraction form
    3,692.52/5,537.18 = 1,383.40/x
  3. Step 3: Cross multiply
    3,692.52x = 5,537.18 × 1,383.40
  4. Step 4: Simplify right side
    3,692.52x = 7,660,134.81
  5. Step 5: Solve for x
    x = 7,660,134.81/3,692.52
  6. Step 6: Final answer
    x = 2,074.50

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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.