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Finding the Fourth Proportional to 7,873.68, 11,800.56 and 3,704.61

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Solution

The fourth proportional to 7,873.68, 11,800.56 and 3,704.61 is: 5,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.68 : 11,800.56 = 3,704.61 : x
  2. Step 2: Convert to fraction form
    7,873.68/11,800.56 = 3,704.61/x
  3. Step 3: Cross multiply
    7,873.68x = 11,800.56 × 3,704.61
  4. Step 4: Simplify right side
    7,873.68x = 43,716,472.58
  5. Step 5: Solve for x
    x = 43,716,472.58/7,873.68
  6. Step 6: Final answer
    x = 5,552.23

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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.