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Finding the Fourth Proportional to 8,116.39, 12,164.86 and 2,916.19

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Solution

The fourth proportional to 8,116.39, 12,164.86 and 2,916.19 is: 4,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.39 : 12,164.86 = 2,916.19 : x
  2. Step 2: Convert to fraction form
    8,116.39/12,164.86 = 2,916.19/x
  3. Step 3: Cross multiply
    8,116.39x = 12,164.86 × 2,916.19
  4. Step 4: Simplify right side
    8,116.39x = 35,475,043.08
  5. Step 5: Solve for x
    x = 35,475,043.08/8,116.39
  6. Step 6: Final answer
    x = 4,370.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.