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Finding the Fourth Proportional to 3,692.84, 5,539.24 and 919.46

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Solution

The fourth proportional to 3,692.84, 5,539.24 and 919.46 is: 1,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.84 : 5,539.24 = 919.46 : x
  2. Step 2: Convert to fraction form
    3,692.84/5,539.24 = 919.46/x
  3. Step 3: Cross multiply
    3,692.84x = 5,539.24 × 919.46
  4. Step 4: Simplify right side
    3,692.84x = 5,093,109.61
  5. Step 5: Solve for x
    x = 5,093,109.61/3,692.84
  6. Step 6: Final answer
    x = 1,379.19

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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.