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Finding the Fourth Proportional to 2,650.80, 3,976.16 and 702.92

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Solution

The fourth proportional to 2,650.80, 3,976.16 and 702.92 is: 1,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.80 : 3,976.16 = 702.92 : x
  2. Step 2: Convert to fraction form
    2,650.80/3,976.16 = 702.92/x
  3. Step 3: Cross multiply
    2,650.80x = 3,976.16 × 702.92
  4. Step 4: Simplify right side
    2,650.80x = 2,794,922.39
  5. Step 5: Solve for x
    x = 2,794,922.39/2,650.80
  6. Step 6: Final answer
    x = 1,054.37

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1.5x scale

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.