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Finding the Fourth Proportional to 3,367.42, 5,051.32 and 1,419.78

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Solution

The fourth proportional to 3,367.42, 5,051.32 and 1,419.78 is: 2,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.42 : 5,051.32 = 1,419.78 : x
  2. Step 2: Convert to fraction form
    3,367.42/5,051.32 = 1,419.78/x
  3. Step 3: Cross multiply
    3,367.42x = 5,051.32 × 1,419.78
  4. Step 4: Simplify right side
    3,367.42x = 7,171,763.11
  5. Step 5: Solve for x
    x = 7,171,763.11/3,367.42
  6. Step 6: Final answer
    x = 2,129.75

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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.