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Finding the Fourth Proportional to 6,186, 8,538.84 and 3,702

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Solution

The fourth proportional to 6,186, 8,538.84 and 3,702 is: 5,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 8,538.84 = 3,702 : x
  2. Step 2: Convert to fraction form
    6,186/8,538.84 = 3,702/x
  3. Step 3: Cross multiply
    6,186x = 8,538.84 × 3,702
  4. Step 4: Simplify right side
    6,186x = 31,610,785.68
  5. Step 5: Solve for x
    x = 31,610,785.68/6,186
  6. Step 6: Final answer
    x = 5,110.05

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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.