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Finding the Fourth Proportional to 2,702.51, 3,727.04 and 2,305.61

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Solution

The fourth proportional to 2,702.51, 3,727.04 and 2,305.61 is: 3,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.51 : 3,727.04 = 2,305.61 : x
  2. Step 2: Convert to fraction form
    2,702.51/3,727.04 = 2,305.61/x
  3. Step 3: Cross multiply
    2,702.51x = 3,727.04 × 2,305.61
  4. Step 4: Simplify right side
    2,702.51x = 8,593,080.51
  5. Step 5: Solve for x
    x = 8,593,080.51/2,702.51
  6. Step 6: Final answer
    x = 3,179.66

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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.