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Finding the Fourth Proportional to 2,761.54, 3,810.99 and 1,502.68

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Solution

The fourth proportional to 2,761.54, 3,810.99 and 1,502.68 is: 2,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.54 : 3,810.99 = 1,502.68 : x
  2. Step 2: Convert to fraction form
    2,761.54/3,810.99 = 1,502.68/x
  3. Step 3: Cross multiply
    2,761.54x = 3,810.99 × 1,502.68
  4. Step 4: Simplify right side
    2,761.54x = 5,726,698.45
  5. Step 5: Solve for x
    x = 5,726,698.45/2,761.54
  6. Step 6: Final answer
    x = 2,073.73

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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.