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Finding the Fourth Proportional to 2,751.82, 4,127.79 and 1,020.46

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Solution

The fourth proportional to 2,751.82, 4,127.79 and 1,020.46 is: 1,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.82 : 4,127.79 = 1,020.46 : x
  2. Step 2: Convert to fraction form
    2,751.82/4,127.79 = 1,020.46/x
  3. Step 3: Cross multiply
    2,751.82x = 4,127.79 × 1,020.46
  4. Step 4: Simplify right side
    2,751.82x = 4,212,244.58
  5. Step 5: Solve for x
    x = 4,212,244.58/2,751.82
  6. Step 6: Final answer
    x = 1,530.71

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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.