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Finding the Fourth Proportional to 6,686.88, 9,229.17 and 3,856.14

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Solution

The fourth proportional to 6,686.88, 9,229.17 and 3,856.14 is: 5,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.88 : 9,229.17 = 3,856.14 : x
  2. Step 2: Convert to fraction form
    6,686.88/9,229.17 = 3,856.14/x
  3. Step 3: Cross multiply
    6,686.88x = 9,229.17 × 3,856.14
  4. Step 4: Simplify right side
    6,686.88x = 35,588,971.60
  5. Step 5: Solve for x
    x = 35,588,971.60/6,686.88
  6. Step 6: Final answer
    x = 5,322.21

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1.5x scale

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.