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Finding the Fourth Proportional to 6,186, 8,536.71 and 3,391.50

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Solution

The fourth proportional to 6,186, 8,536.71 and 3,391.50 is: 4,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 8,536.71 = 3,391.50 : x
  2. Step 2: Convert to fraction form
    6,186/8,536.71 = 3,391.50/x
  3. Step 3: Cross multiply
    6,186x = 8,536.71 × 3,391.50
  4. Step 4: Simplify right side
    6,186x = 28,952,251.97
  5. Step 5: Solve for x
    x = 28,952,251.97/6,186
  6. Step 6: Final answer
    x = 4,680.29

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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.