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Finding the Fourth Proportional to 8,171.04, 12,262 and 5,251.44

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Solution

The fourth proportional to 8,171.04, 12,262 and 5,251.44 is: 7,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.04 : 12,262 = 5,251.44 : x
  2. Step 2: Convert to fraction form
    8,171.04/12,262 = 5,251.44/x
  3. Step 3: Cross multiply
    8,171.04x = 12,262 × 5,251.44
  4. Step 4: Simplify right side
    8,171.04x = 64,393,157.28
  5. Step 5: Solve for x
    x = 64,393,157.28/8,171.04
  6. Step 6: Final answer
    x = 7,880.66

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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.