Home / 3,299-4,942.32-1,653.62

Finding the Fourth Proportional to 3,299, 4,942.32 and 1,653.62

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Solution

The fourth proportional to 3,299, 4,942.32 and 1,653.62 is: 2,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299 : 4,942.32 = 1,653.62 : x
  2. Step 2: Convert to fraction form
    3,299/4,942.32 = 1,653.62/x
  3. Step 3: Cross multiply
    3,299x = 4,942.32 × 1,653.62
  4. Step 4: Simplify right side
    3,299x = 8,172,719.20
  5. Step 5: Solve for x
    x = 8,172,719.20/3,299
  6. Step 6: Final answer
    x = 2,477.33

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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.