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Finding the Fourth Proportional to 8,318, 11,473.98 and 5,175.20

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Solution

The fourth proportional to 8,318, 11,473.98 and 5,175.20 is: 7,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318 : 11,473.98 = 5,175.20 : x
  2. Step 2: Convert to fraction form
    8,318/11,473.98 = 5,175.20/x
  3. Step 3: Cross multiply
    8,318x = 11,473.98 × 5,175.20
  4. Step 4: Simplify right side
    8,318x = 59,380,141.30
  5. Step 5: Solve for x
    x = 59,380,141.30/8,318
  6. Step 6: Final answer
    x = 7,138.75

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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.