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Finding the Fourth Proportional to 8,000.70, 12,006.54 and 2,806.57

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Solution

The fourth proportional to 8,000.70, 12,006.54 and 2,806.57 is: 4,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.70 : 12,006.54 = 2,806.57 : x
  2. Step 2: Convert to fraction form
    8,000.70/12,006.54 = 2,806.57/x
  3. Step 3: Cross multiply
    8,000.70x = 12,006.54 × 2,806.57
  4. Step 4: Simplify right side
    8,000.70x = 33,697,194.97
  5. Step 5: Solve for x
    x = 33,697,194.97/8,000.70
  6. Step 6: Final answer
    x = 4,211.78

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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.