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Finding the Fourth Proportional to 6,964.71, 9,609.62 and 3,939.89

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Solution

The fourth proportional to 6,964.71, 9,609.62 and 3,939.89 is: 5,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.71 : 9,609.62 = 3,939.89 : x
  2. Step 2: Convert to fraction form
    6,964.71/9,609.62 = 3,939.89/x
  3. Step 3: Cross multiply
    6,964.71x = 9,609.62 × 3,939.89
  4. Step 4: Simplify right side
    6,964.71x = 37,860,777.99
  5. Step 5: Solve for x
    x = 37,860,777.99/6,964.71
  6. Step 6: Final answer
    x = 5,436.09

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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.