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Finding the Fourth Proportional to 3,937.18, 5,905.77 and 3,696.61

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Solution

The fourth proportional to 3,937.18, 5,905.77 and 3,696.61 is: 5,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.18 : 5,905.77 = 3,696.61 : x
  2. Step 2: Convert to fraction form
    3,937.18/5,905.77 = 3,696.61/x
  3. Step 3: Cross multiply
    3,937.18x = 5,905.77 × 3,696.61
  4. Step 4: Simplify right side
    3,937.18x = 21,831,322.92
  5. Step 5: Solve for x
    x = 21,831,322.92/3,937.18
  6. Step 6: Final answer
    x = 5,544.92

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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.