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Finding the Fourth Proportional to 8,682.39, 11,965.62 and 6,164.61

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Solution

The fourth proportional to 8,682.39, 11,965.62 and 6,164.61 is: 8,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.39 : 11,965.62 = 6,164.61 : x
  2. Step 2: Convert to fraction form
    8,682.39/11,965.62 = 6,164.61/x
  3. Step 3: Cross multiply
    8,682.39x = 11,965.62 × 6,164.61
  4. Step 4: Simplify right side
    8,682.39x = 73,763,358.95
  5. Step 5: Solve for x
    x = 73,763,358.95/8,682.39
  6. Step 6: Final answer
    x = 8,495.74

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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.