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Finding the Fourth Proportional to 8,141.37, 12,202.73 and 3,454.50

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Solution

The fourth proportional to 8,141.37, 12,202.73 and 3,454.50 is: 5,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.37 : 12,202.73 = 3,454.50 : x
  2. Step 2: Convert to fraction form
    8,141.37/12,202.73 = 3,454.50/x
  3. Step 3: Cross multiply
    8,141.37x = 12,202.73 × 3,454.50
  4. Step 4: Simplify right side
    8,141.37x = 42,154,330.79
  5. Step 5: Solve for x
    x = 42,154,330.79/8,141.37
  6. Step 6: Final answer
    x = 5,177.79

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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.