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Finding the Fourth Proportional to 2,702.82, 4,054.23 and 755.07

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Solution

The fourth proportional to 2,702.82, 4,054.23 and 755.07 is: 1,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.82 : 4,054.23 = 755.07 : x
  2. Step 2: Convert to fraction form
    2,702.82/4,054.23 = 755.07/x
  3. Step 3: Cross multiply
    2,702.82x = 4,054.23 × 755.07
  4. Step 4: Simplify right side
    2,702.82x = 3,061,227.45
  5. Step 5: Solve for x
    x = 3,061,227.45/2,702.82
  6. Step 6: Final answer
    x = 1,132.61

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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.