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Finding the Fourth Proportional to 3,129.08, 4,692.26 and 937.29

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Solution

The fourth proportional to 3,129.08, 4,692.26 and 937.29 is: 1,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.08 : 4,692.26 = 937.29 : x
  2. Step 2: Convert to fraction form
    3,129.08/4,692.26 = 937.29/x
  3. Step 3: Cross multiply
    3,129.08x = 4,692.26 × 937.29
  4. Step 4: Simplify right side
    3,129.08x = 4,398,003.69
  5. Step 5: Solve for x
    x = 4,398,003.69/3,129.08
  6. Step 6: Final answer
    x = 1,405.53

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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.