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Finding the Fourth Proportional to 5,685.39, 7,847.11 and 3,692.49

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Solution

The fourth proportional to 5,685.39, 7,847.11 and 3,692.49 is: 5,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.39 : 7,847.11 = 3,692.49 : x
  2. Step 2: Convert to fraction form
    5,685.39/7,847.11 = 3,692.49/x
  3. Step 3: Cross multiply
    5,685.39x = 7,847.11 × 3,692.49
  4. Step 4: Simplify right side
    5,685.39x = 28,975,350.39
  5. Step 5: Solve for x
    x = 28,975,350.39/5,685.39
  6. Step 6: Final answer
    x = 5,096.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.