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Finding the Fourth Proportional to 7,861.47, 11,800.17 and 6,977.76

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Solution

The fourth proportional to 7,861.47, 11,800.17 and 6,977.76 is: 10,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.47 : 11,800.17 = 6,977.76 : x
  2. Step 2: Convert to fraction form
    7,861.47/11,800.17 = 6,977.76/x
  3. Step 3: Cross multiply
    7,861.47x = 11,800.17 × 6,977.76
  4. Step 4: Simplify right side
    7,861.47x = 82,338,754.22
  5. Step 5: Solve for x
    x = 82,338,754.22/7,861.47
  6. Step 6: Final answer
    x = 10,473.71

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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.