Home / 6,498-9,739.68-3,213.40

Finding the Fourth Proportional to 6,498, 9,739.68 and 3,213.40

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Solution

The fourth proportional to 6,498, 9,739.68 and 3,213.40 is: 4,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 9,739.68 = 3,213.40 : x
  2. Step 2: Convert to fraction form
    6,498/9,739.68 = 3,213.40/x
  3. Step 3: Cross multiply
    6,498x = 9,739.68 × 3,213.40
  4. Step 4: Simplify right side
    6,498x = 31,297,487.71
  5. Step 5: Solve for x
    x = 31,297,487.71/6,498
  6. Step 6: Final answer
    x = 4,816.48

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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.