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Finding the Fourth Proportional to 4,913.87, 6,781.22 and 2,675.79

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Solution

The fourth proportional to 4,913.87, 6,781.22 and 2,675.79 is: 3,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.87 : 6,781.22 = 2,675.79 : x
  2. Step 2: Convert to fraction form
    4,913.87/6,781.22 = 2,675.79/x
  3. Step 3: Cross multiply
    4,913.87x = 6,781.22 × 2,675.79
  4. Step 4: Simplify right side
    4,913.87x = 18,145,127.35
  5. Step 5: Solve for x
    x = 18,145,127.35/4,913.87
  6. Step 6: Final answer
    x = 3,692.63

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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.