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Finding the Fourth Proportional to 7,737.82, 11,605.24 and 2,189.82

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Solution

The fourth proportional to 7,737.82, 11,605.24 and 2,189.82 is: 3,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.82 : 11,605.24 = 2,189.82 : x
  2. Step 2: Convert to fraction form
    7,737.82/11,605.24 = 2,189.82/x
  3. Step 3: Cross multiply
    7,737.82x = 11,605.24 × 2,189.82
  4. Step 4: Simplify right side
    7,737.82x = 25,413,386.66
  5. Step 5: Solve for x
    x = 25,413,386.66/7,737.82
  6. Step 6: Final answer
    x = 3,284.31

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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.