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Finding the Fourth Proportional to 6,448.65, 9,668.11 and 3,327.31

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Solution

The fourth proportional to 6,448.65, 9,668.11 and 3,327.31 is: 4,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.65 : 9,668.11 = 3,327.31 : x
  2. Step 2: Convert to fraction form
    6,448.65/9,668.11 = 3,327.31/x
  3. Step 3: Cross multiply
    6,448.65x = 9,668.11 × 3,327.31
  4. Step 4: Simplify right side
    6,448.65x = 32,168,799.08
  5. Step 5: Solve for x
    x = 32,168,799.08/6,448.65
  6. Step 6: Final answer
    x = 4,988.45

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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.