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Finding the Fourth Proportional to 8,156.70, 11,255.94 and 4,619.88

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Solution

The fourth proportional to 8,156.70, 11,255.94 and 4,619.88 is: 6,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.70 : 11,255.94 = 4,619.88 : x
  2. Step 2: Convert to fraction form
    8,156.70/11,255.94 = 4,619.88/x
  3. Step 3: Cross multiply
    8,156.70x = 11,255.94 × 4,619.88
  4. Step 4: Simplify right side
    8,156.70x = 52,001,092.09
  5. Step 5: Solve for x
    x = 52,001,092.09/8,156.70
  6. Step 6: Final answer
    x = 6,375.26

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1.5x scale

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.