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Finding the Fourth Proportional to 2,761.52, 3,809.16 and 1,641.66

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Solution

The fourth proportional to 2,761.52, 3,809.16 and 1,641.66 is: 2,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.52 : 3,809.16 = 1,641.66 : x
  2. Step 2: Convert to fraction form
    2,761.52/3,809.16 = 1,641.66/x
  3. Step 3: Cross multiply
    2,761.52x = 3,809.16 × 1,641.66
  4. Step 4: Simplify right side
    2,761.52x = 6,253,345.61
  5. Step 5: Solve for x
    x = 6,253,345.61/2,761.52
  6. Step 6: Final answer
    x = 2,264.46

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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.