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Finding the Fourth Proportional to 2,703.69, 3,731.09 and 1,508.69

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Solution

The fourth proportional to 2,703.69, 3,731.09 and 1,508.69 is: 2,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.69 : 3,731.09 = 1,508.69 : x
  2. Step 2: Convert to fraction form
    2,703.69/3,731.09 = 1,508.69/x
  3. Step 3: Cross multiply
    2,703.69x = 3,731.09 × 1,508.69
  4. Step 4: Simplify right side
    2,703.69x = 5,629,031.97
  5. Step 5: Solve for x
    x = 5,629,031.97/2,703.69
  6. Step 6: Final answer
    x = 2,081.98

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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.