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Finding the Fourth Proportional to 7,806.96, 11,704.74 and 2,876.70

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Solution

The fourth proportional to 7,806.96, 11,704.74 and 2,876.70 is: 4,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.96 : 11,704.74 = 2,876.70 : x
  2. Step 2: Convert to fraction form
    7,806.96/11,704.74 = 2,876.70/x
  3. Step 3: Cross multiply
    7,806.96x = 11,704.74 × 2,876.70
  4. Step 4: Simplify right side
    7,806.96x = 33,671,025.56
  5. Step 5: Solve for x
    x = 33,671,025.56/7,806.96
  6. Step 6: Final answer
    x = 4,312.95

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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.