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Finding the Fourth Proportional to 8,000.49, 12,006.41 and 2,806.77

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Solution

The fourth proportional to 8,000.49, 12,006.41 and 2,806.77 is: 4,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.49 : 12,006.41 = 2,806.77 : x
  2. Step 2: Convert to fraction form
    8,000.49/12,006.41 = 2,806.77/x
  3. Step 3: Cross multiply
    8,000.49x = 12,006.41 × 2,806.77
  4. Step 4: Simplify right side
    8,000.49x = 33,699,217.36
  5. Step 5: Solve for x
    x = 33,699,217.36/8,000.49
  6. Step 6: Final answer
    x = 4,212.14

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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.