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Finding the Fourth Proportional to 3,768, 5,200.32 and 2,112

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Solution

The fourth proportional to 3,768, 5,200.32 and 2,112 is: 2,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768 : 5,200.32 = 2,112 : x
  2. Step 2: Convert to fraction form
    3,768/5,200.32 = 2,112/x
  3. Step 3: Cross multiply
    3,768x = 5,200.32 × 2,112
  4. Step 4: Simplify right side
    3,768x = 10,983,075.84
  5. Step 5: Solve for x
    x = 10,983,075.84/3,768
  6. Step 6: Final answer
    x = 2,914.83

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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.