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Finding the Fourth Proportional to 7,620.98, 10,530.45 and 5,867.73

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Solution

The fourth proportional to 7,620.98, 10,530.45 and 5,867.73 is: 8,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.98 : 10,530.45 = 5,867.73 : x
  2. Step 2: Convert to fraction form
    7,620.98/10,530.45 = 5,867.73/x
  3. Step 3: Cross multiply
    7,620.98x = 10,530.45 × 5,867.73
  4. Step 4: Simplify right side
    7,620.98x = 61,789,837.38
  5. Step 5: Solve for x
    x = 61,789,837.38/7,620.98
  6. Step 6: Final answer
    x = 8,107.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.