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Finding the Fourth Proportional to 3,692.48, 5,538.67 and 919.17

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Solution

The fourth proportional to 3,692.48, 5,538.67 and 919.17 is: 1,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.48 : 5,538.67 = 919.17 : x
  2. Step 2: Convert to fraction form
    3,692.48/5,538.67 = 919.17/x
  3. Step 3: Cross multiply
    3,692.48x = 5,538.67 × 919.17
  4. Step 4: Simplify right side
    3,692.48x = 5,090,977.01
  5. Step 5: Solve for x
    x = 5,090,977.01/3,692.48
  6. Step 6: Final answer
    x = 1,378.74

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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.