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Finding the Fourth Proportional to 3,483.78, 5,212.56 and 2,144.94

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Solution

The fourth proportional to 3,483.78, 5,212.56 and 2,144.94 is: 3,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.78 : 5,212.56 = 2,144.94 : x
  2. Step 2: Convert to fraction form
    3,483.78/5,212.56 = 2,144.94/x
  3. Step 3: Cross multiply
    3,483.78x = 5,212.56 × 2,144.94
  4. Step 4: Simplify right side
    3,483.78x = 11,180,628.45
  5. Step 5: Solve for x
    x = 11,180,628.45/3,483.78
  6. Step 6: Final answer
    x = 3,209.34

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1.5x scale

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.