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Finding the Fourth Proportional to 3,692.11, 5,538.15 and 918.76

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Solution

The fourth proportional to 3,692.11, 5,538.15 and 918.76 is: 1,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.11 : 5,538.15 = 918.76 : x
  2. Step 2: Convert to fraction form
    3,692.11/5,538.15 = 918.76/x
  3. Step 3: Cross multiply
    3,692.11x = 5,538.15 × 918.76
  4. Step 4: Simplify right side
    3,692.11x = 5,088,230.69
  5. Step 5: Solve for x
    x = 5,088,230.69/3,692.11
  6. Step 6: Final answer
    x = 1,378.14

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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.