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Finding the Fourth Proportional to 8,119.38, 11,203.98 and 4,534.20

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Solution

The fourth proportional to 8,119.38, 11,203.98 and 4,534.20 is: 6,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.38 : 11,203.98 = 4,534.20 : x
  2. Step 2: Convert to fraction form
    8,119.38/11,203.98 = 4,534.20/x
  3. Step 3: Cross multiply
    8,119.38x = 11,203.98 × 4,534.20
  4. Step 4: Simplify right side
    8,119.38x = 50,801,086.12
  5. Step 5: Solve for x
    x = 50,801,086.12/8,119.38
  6. Step 6: Final answer
    x = 6,256.77

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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.