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Finding the Fourth Proportional to 3,479.96, 5,214.48 and 1,918.64

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Solution

The fourth proportional to 3,479.96, 5,214.48 and 1,918.64 is: 2,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.96 : 5,214.48 = 1,918.64 : x
  2. Step 2: Convert to fraction form
    3,479.96/5,214.48 = 1,918.64/x
  3. Step 3: Cross multiply
    3,479.96x = 5,214.48 × 1,918.64
  4. Step 4: Simplify right side
    3,479.96x = 10,004,709.91
  5. Step 5: Solve for x
    x = 10,004,709.91/3,479.96
  6. Step 6: Final answer
    x = 2,874.95

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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.