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Finding the Fourth Proportional to 8,011.83, 12,006.15 and 7,311.39

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Solution

The fourth proportional to 8,011.83, 12,006.15 and 7,311.39 is: 10,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.83 : 12,006.15 = 7,311.39 : x
  2. Step 2: Convert to fraction form
    8,011.83/12,006.15 = 7,311.39/x
  3. Step 3: Cross multiply
    8,011.83x = 12,006.15 × 7,311.39
  4. Step 4: Simplify right side
    8,011.83x = 87,781,645.05
  5. Step 5: Solve for x
    x = 87,781,645.05/8,011.83
  6. Step 6: Final answer
    x = 10,956.50

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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.