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Finding the Fourth Proportional to 3,711, 5,122.78 and 2,716.32

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Solution

The fourth proportional to 3,711, 5,122.78 and 2,716.32 is: 3,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711 : 5,122.78 = 2,716.32 : x
  2. Step 2: Convert to fraction form
    3,711/5,122.78 = 2,716.32/x
  3. Step 3: Cross multiply
    3,711x = 5,122.78 × 2,716.32
  4. Step 4: Simplify right side
    3,711x = 13,915,109.77
  5. Step 5: Solve for x
    x = 13,915,109.77/3,711
  6. Step 6: Final answer
    x = 3,749.69

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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.