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Finding the Fourth Proportional to 3,343.92, 5,012.58 and 1,613.76

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Solution

The fourth proportional to 3,343.92, 5,012.58 and 1,613.76 is: 2,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.92 : 5,012.58 = 1,613.76 : x
  2. Step 2: Convert to fraction form
    3,343.92/5,012.58 = 1,613.76/x
  3. Step 3: Cross multiply
    3,343.92x = 5,012.58 × 1,613.76
  4. Step 4: Simplify right side
    3,343.92x = 8,089,101.10
  5. Step 5: Solve for x
    x = 8,089,101.10/3,343.92
  6. Step 6: Final answer
    x = 2,419.05

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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.