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Finding the Fourth Proportional to 8,683.39, 11,967 and 6,165.61

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Solution

The fourth proportional to 8,683.39, 11,967 and 6,165.61 is: 8,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.39 : 11,967 = 6,165.61 : x
  2. Step 2: Convert to fraction form
    8,683.39/11,967 = 6,165.61/x
  3. Step 3: Cross multiply
    8,683.39x = 11,967 × 6,165.61
  4. Step 4: Simplify right side
    8,683.39x = 73,783,854.87
  5. Step 5: Solve for x
    x = 73,783,854.87/8,683.39
  6. Step 6: Final answer
    x = 8,497.13

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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.