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Finding the Fourth Proportional to 3,157.61, 4,734.85 and 1,841.82

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Solution

The fourth proportional to 3,157.61, 4,734.85 and 1,841.82 is: 2,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.61 : 4,734.85 = 1,841.82 : x
  2. Step 2: Convert to fraction form
    3,157.61/4,734.85 = 1,841.82/x
  3. Step 3: Cross multiply
    3,157.61x = 4,734.85 × 1,841.82
  4. Step 4: Simplify right side
    3,157.61x = 8,720,736.82
  5. Step 5: Solve for x
    x = 8,720,736.82/3,157.61
  6. Step 6: Final answer
    x = 2,761.81

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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.