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Finding the Fourth Proportional to 8,125.77, 12,172.06 and 6,805.76

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Solution

The fourth proportional to 8,125.77, 12,172.06 and 6,805.76 is: 10,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.77 : 12,172.06 = 6,805.76 : x
  2. Step 2: Convert to fraction form
    8,125.77/12,172.06 = 6,805.76/x
  3. Step 3: Cross multiply
    8,125.77x = 12,172.06 × 6,805.76
  4. Step 4: Simplify right side
    8,125.77x = 82,840,102.28
  5. Step 5: Solve for x
    x = 82,840,102.28/8,125.77
  6. Step 6: Final answer
    x = 10,194.74

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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.