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Finding the Fourth Proportional to 6,707.80, 9,257 and 3,723.68

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Solution

The fourth proportional to 6,707.80, 9,257 and 3,723.68 is: 5,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.80 : 9,257 = 3,723.68 : x
  2. Step 2: Convert to fraction form
    6,707.80/9,257 = 3,723.68/x
  3. Step 3: Cross multiply
    6,707.80x = 9,257 × 3,723.68
  4. Step 4: Simplify right side
    6,707.80x = 34,470,105.76
  5. Step 5: Solve for x
    x = 34,470,105.76/6,707.80
  6. Step 6: Final answer
    x = 5,138.81

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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.