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Finding the Fourth Proportional to 3,181.62, 4,390.62 and 2,004.24

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Solution

The fourth proportional to 3,181.62, 4,390.62 and 2,004.24 is: 2,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.62 : 4,390.62 = 2,004.24 : x
  2. Step 2: Convert to fraction form
    3,181.62/4,390.62 = 2,004.24/x
  3. Step 3: Cross multiply
    3,181.62x = 4,390.62 × 2,004.24
  4. Step 4: Simplify right side
    3,181.62x = 8,799,856.23
  5. Step 5: Solve for x
    x = 8,799,856.23/3,181.62
  6. Step 6: Final answer
    x = 2,765.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.