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Finding the Fourth Proportional to 3,756.84, 5,138.43 and 3,696.36

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Solution

The fourth proportional to 3,756.84, 5,138.43 and 3,696.36 is: 5,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.84 : 5,138.43 = 3,696.36 : x
  2. Step 2: Convert to fraction form
    3,756.84/5,138.43 = 3,696.36/x
  3. Step 3: Cross multiply
    3,756.84x = 5,138.43 × 3,696.36
  4. Step 4: Simplify right side
    3,756.84x = 18,993,487.11
  5. Step 5: Solve for x
    x = 18,993,487.11/3,756.84
  6. Step 6: Final answer
    x = 5,055.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.