Home / 3,207.84-4,815-2,284.44

Finding the Fourth Proportional to 3,207.84, 4,815 and 2,284.44

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Solution

The fourth proportional to 3,207.84, 4,815 and 2,284.44 is: 3,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.84 : 4,815 = 2,284.44 : x
  2. Step 2: Convert to fraction form
    3,207.84/4,815 = 2,284.44/x
  3. Step 3: Cross multiply
    3,207.84x = 4,815 × 2,284.44
  4. Step 4: Simplify right side
    3,207.84x = 10,999,578.60
  5. Step 5: Solve for x
    x = 10,999,578.60/3,207.84
  6. Step 6: Final answer
    x = 3,428.97

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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.