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Finding the Fourth Proportional to 7,857.23, 11,784.02 and 3,472.29

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Solution

The fourth proportional to 7,857.23, 11,784.02 and 3,472.29 is: 5,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.23 : 11,784.02 = 3,472.29 : x
  2. Step 2: Convert to fraction form
    7,857.23/11,784.02 = 3,472.29/x
  3. Step 3: Cross multiply
    7,857.23x = 11,784.02 × 3,472.29
  4. Step 4: Simplify right side
    7,857.23x = 40,917,517.44
  5. Step 5: Solve for x
    x = 40,917,517.44/7,857.23
  6. Step 6: Final answer
    x = 5,207.63

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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.