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Finding the Fourth Proportional to 6,329.84, 9,488 and 3,212.16

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Solution

The fourth proportional to 6,329.84, 9,488 and 3,212.16 is: 4,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.84 : 9,488 = 3,212.16 : x
  2. Step 2: Convert to fraction form
    6,329.84/9,488 = 3,212.16/x
  3. Step 3: Cross multiply
    6,329.84x = 9,488 × 3,212.16
  4. Step 4: Simplify right side
    6,329.84x = 30,476,974.08
  5. Step 5: Solve for x
    x = 30,476,974.08/6,329.84
  6. Step 6: Final answer
    x = 4,814.81

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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.