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Finding the Fourth Proportional to 5,221.78, 7,829.59 and 3,467.74

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Solution

The fourth proportional to 5,221.78, 7,829.59 and 3,467.74 is: 5,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.78 : 7,829.59 = 3,467.74 : x
  2. Step 2: Convert to fraction form
    5,221.78/7,829.59 = 3,467.74/x
  3. Step 3: Cross multiply
    5,221.78x = 7,829.59 × 3,467.74
  4. Step 4: Simplify right side
    5,221.78x = 27,150,982.43
  5. Step 5: Solve for x
    x = 27,150,982.43/5,221.78
  6. Step 6: Final answer
    x = 5,199.56

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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.