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Finding the Fourth Proportional to 6,680, 9,218.25 and 3,695.87

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Solution

The fourth proportional to 6,680, 9,218.25 and 3,695.87 is: 5,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 9,218.25 = 3,695.87 : x
  2. Step 2: Convert to fraction form
    6,680/9,218.25 = 3,695.87/x
  3. Step 3: Cross multiply
    6,680x = 9,218.25 × 3,695.87
  4. Step 4: Simplify right side
    6,680x = 34,069,453.63
  5. Step 5: Solve for x
    x = 34,069,453.63/6,680
  6. Step 6: Final answer
    x = 5,100.22

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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.