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Finding the Fourth Proportional to 3,769.64, 5,198.28 and 2,277.28

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Solution

The fourth proportional to 3,769.64, 5,198.28 and 2,277.28 is: 3,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.64 : 5,198.28 = 2,277.28 : x
  2. Step 2: Convert to fraction form
    3,769.64/5,198.28 = 2,277.28/x
  3. Step 3: Cross multiply
    3,769.64x = 5,198.28 × 2,277.28
  4. Step 4: Simplify right side
    3,769.64x = 11,837,939.08
  5. Step 5: Solve for x
    x = 11,837,939.08/3,769.64
  6. Step 6: Final answer
    x = 3,140.34

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1.5x scale

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.