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Finding the Fourth Proportional to 3,764.60, 5,649.60 and 2,119.40

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Solution

The fourth proportional to 3,764.60, 5,649.60 and 2,119.40 is: 3,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.60 : 5,649.60 = 2,119.40 : x
  2. Step 2: Convert to fraction form
    3,764.60/5,649.60 = 2,119.40/x
  3. Step 3: Cross multiply
    3,764.60x = 5,649.60 × 2,119.40
  4. Step 4: Simplify right side
    3,764.60x = 11,973,762.24
  5. Step 5: Solve for x
    x = 11,973,762.24/3,764.60
  6. Step 6: Final answer
    x = 3,180.62

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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.