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Finding the Fourth Proportional to 8,102.70, 12,186.45 and 7,260.30

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Solution

The fourth proportional to 8,102.70, 12,186.45 and 7,260.30 is: 10,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.70 : 12,186.45 = 7,260.30 : x
  2. Step 2: Convert to fraction form
    8,102.70/12,186.45 = 7,260.30/x
  3. Step 3: Cross multiply
    8,102.70x = 12,186.45 × 7,260.30
  4. Step 4: Simplify right side
    8,102.70x = 88,477,282.94
  5. Step 5: Solve for x
    x = 88,477,282.94/8,102.70
  6. Step 6: Final answer
    x = 10,919.48

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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.