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Finding the Fourth Proportional to 8,134.59, 12,206.46 and 8,072.63

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Solution

The fourth proportional to 8,134.59, 12,206.46 and 8,072.63 is: 12,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.59 : 12,206.46 = 8,072.63 : x
  2. Step 2: Convert to fraction form
    8,134.59/12,206.46 = 8,072.63/x
  3. Step 3: Cross multiply
    8,134.59x = 12,206.46 × 8,072.63
  4. Step 4: Simplify right side
    8,134.59x = 98,538,250.20
  5. Step 5: Solve for x
    x = 98,538,250.20/8,134.59
  6. Step 6: Final answer
    x = 12,113.48

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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.