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Finding the Fourth Proportional to 8,236.42, 11,290 and 8,125.66

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Solution

The fourth proportional to 8,236.42, 11,290 and 8,125.66 is: 11,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.42 : 11,290 = 8,125.66 : x
  2. Step 2: Convert to fraction form
    8,236.42/11,290 = 8,125.66/x
  3. Step 3: Cross multiply
    8,236.42x = 11,290 × 8,125.66
  4. Step 4: Simplify right side
    8,236.42x = 91,738,701.40
  5. Step 5: Solve for x
    x = 91,738,701.40/8,236.42
  6. Step 6: Final answer
    x = 11,138.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.