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Finding the Fourth Proportional to 8,171.88, 12,260.70 and 2,978.28

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Solution

The fourth proportional to 8,171.88, 12,260.70 and 2,978.28 is: 4,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.88 : 12,260.70 = 2,978.28 : x
  2. Step 2: Convert to fraction form
    8,171.88/12,260.70 = 2,978.28/x
  3. Step 3: Cross multiply
    8,171.88x = 12,260.70 × 2,978.28
  4. Step 4: Simplify right side
    8,171.88x = 36,515,797.60
  5. Step 5: Solve for x
    x = 36,515,797.60/8,171.88
  6. Step 6: Final answer
    x = 4,468.47

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1.5x scale

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.