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Finding the Fourth Proportional to 3,692.07, 5,098.68 and 3,157.86

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Solution

The fourth proportional to 3,692.07, 5,098.68 and 3,157.86 is: 4,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.07 : 5,098.68 = 3,157.86 : x
  2. Step 2: Convert to fraction form
    3,692.07/5,098.68 = 3,157.86/x
  3. Step 3: Cross multiply
    3,692.07x = 5,098.68 × 3,157.86
  4. Step 4: Simplify right side
    3,692.07x = 16,100,917.62
  5. Step 5: Solve for x
    x = 16,100,917.62/3,692.07
  6. Step 6: Final answer
    x = 4,360.95

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Why These Related Problems?

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