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Finding the Fourth Proportional to 8,116.49, 12,194.18 and 5,200.49

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Solution

The fourth proportional to 8,116.49, 12,194.18 and 5,200.49 is: 7,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.49 : 12,194.18 = 5,200.49 : x
  2. Step 2: Convert to fraction form
    8,116.49/12,194.18 = 5,200.49/x
  3. Step 3: Cross multiply
    8,116.49x = 12,194.18 × 5,200.49
  4. Step 4: Simplify right side
    8,116.49x = 63,415,711.15
  5. Step 5: Solve for x
    x = 63,415,711.15/8,116.49
  6. Step 6: Final answer
    x = 7,813.19

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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.