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Finding the Fourth Proportional to 7,861.83, 11,731.44 and 7,163.19

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Solution

The fourth proportional to 7,861.83, 11,731.44 and 7,163.19 is: 10,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.83 : 11,731.44 = 7,163.19 : x
  2. Step 2: Convert to fraction form
    7,861.83/11,731.44 = 7,163.19/x
  3. Step 3: Cross multiply
    7,861.83x = 11,731.44 × 7,163.19
  4. Step 4: Simplify right side
    7,861.83x = 84,034,533.69
  5. Step 5: Solve for x
    x = 84,034,533.69/7,861.83
  6. Step 6: Final answer
    x = 10,688.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.