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Finding the Fourth Proportional to 7,881, 10,873.86 and 5,191.94

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Solution

The fourth proportional to 7,881, 10,873.86 and 5,191.94 is: 7,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881 : 10,873.86 = 5,191.94 : x
  2. Step 2: Convert to fraction form
    7,881/10,873.86 = 5,191.94/x
  3. Step 3: Cross multiply
    7,881x = 10,873.86 × 5,191.94
  4. Step 4: Simplify right side
    7,881x = 56,456,428.69
  5. Step 5: Solve for x
    x = 56,456,428.69/7,881
  6. Step 6: Final answer
    x = 7,163.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.