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Finding the Fourth Proportional to 7,857.56, 11,769.40 and 3,691.32

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Solution

The fourth proportional to 7,857.56, 11,769.40 and 3,691.32 is: 5,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.56 : 11,769.40 = 3,691.32 : x
  2. Step 2: Convert to fraction form
    7,857.56/11,769.40 = 3,691.32/x
  3. Step 3: Cross multiply
    7,857.56x = 11,769.40 × 3,691.32
  4. Step 4: Simplify right side
    7,857.56x = 43,444,648.29
  5. Step 5: Solve for x
    x = 43,444,648.29/7,857.56
  6. Step 6: Final answer
    x = 5,529.03

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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.