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Finding the Fourth Proportional to 3,613.96, 5,419.02 and 1,664.50

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Solution

The fourth proportional to 3,613.96, 5,419.02 and 1,664.50 is: 2,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.96 : 5,419.02 = 1,664.50 : x
  2. Step 2: Convert to fraction form
    3,613.96/5,419.02 = 1,664.50/x
  3. Step 3: Cross multiply
    3,613.96x = 5,419.02 × 1,664.50
  4. Step 4: Simplify right side
    3,613.96x = 9,019,958.79
  5. Step 5: Solve for x
    x = 9,019,958.79/3,613.96
  6. Step 6: Final answer
    x = 2,495.87

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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.