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Finding the Fourth Proportional to 7,813.53, 11,723.94 and 3,917.43

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Solution

The fourth proportional to 7,813.53, 11,723.94 and 3,917.43 is: 5,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.53 : 11,723.94 = 3,917.43 : x
  2. Step 2: Convert to fraction form
    7,813.53/11,723.94 = 3,917.43/x
  3. Step 3: Cross multiply
    7,813.53x = 11,723.94 × 3,917.43
  4. Step 4: Simplify right side
    7,813.53x = 45,927,714.27
  5. Step 5: Solve for x
    x = 45,927,714.27/7,813.53
  6. Step 6: Final answer
    x = 5,877.97

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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.