Home / 2,731.24-3,769-1,536.20

Finding the Fourth Proportional to 2,731.24, 3,769 and 1,536.20

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Solution

The fourth proportional to 2,731.24, 3,769 and 1,536.20 is: 2,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.24 : 3,769 = 1,536.20 : x
  2. Step 2: Convert to fraction form
    2,731.24/3,769 = 1,536.20/x
  3. Step 3: Cross multiply
    2,731.24x = 3,769 × 1,536.20
  4. Step 4: Simplify right side
    2,731.24x = 5,789,918.96
  5. Step 5: Solve for x
    x = 5,789,918.96/2,731.24
  6. Step 6: Final answer
    x = 2,119.88

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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.