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Finding the Fourth Proportional to 6,702.80, 9,249.80 and 3,718.65

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Solution

The fourth proportional to 6,702.80, 9,249.80 and 3,718.65 is: 5,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.80 : 9,249.80 = 3,718.65 : x
  2. Step 2: Convert to fraction form
    6,702.80/9,249.80 = 3,718.65/x
  3. Step 3: Cross multiply
    6,702.80x = 9,249.80 × 3,718.65
  4. Step 4: Simplify right side
    6,702.80x = 34,396,750.18
  5. Step 5: Solve for x
    x = 34,396,750.18/6,702.80
  6. Step 6: Final answer
    x = 5,131.70

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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.