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Finding the Fourth Proportional to 8,186.94, 11,291.94 and 5,200.20

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Solution

The fourth proportional to 8,186.94, 11,291.94 and 5,200.20 is: 7,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.94 : 11,291.94 = 5,200.20 : x
  2. Step 2: Convert to fraction form
    8,186.94/11,291.94 = 5,200.20/x
  3. Step 3: Cross multiply
    8,186.94x = 11,291.94 × 5,200.20
  4. Step 4: Simplify right side
    8,186.94x = 58,720,346.39
  5. Step 5: Solve for x
    x = 58,720,346.39/8,186.94
  6. Step 6: Final answer
    x = 7,172.44

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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.