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Finding the Fourth Proportional to 7,769.61, 11,654.81 and 2,223.77

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Solution

The fourth proportional to 7,769.61, 11,654.81 and 2,223.77 is: 3,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.61 : 11,654.81 = 2,223.77 : x
  2. Step 2: Convert to fraction form
    7,769.61/11,654.81 = 2,223.77/x
  3. Step 3: Cross multiply
    7,769.61x = 11,654.81 × 2,223.77
  4. Step 4: Simplify right side
    7,769.61x = 25,917,564.12
  5. Step 5: Solve for x
    x = 25,917,564.12/7,769.61
  6. Step 6: Final answer
    x = 3,335.76

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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.