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Finding the Fourth Proportional to 3,375.39, 5,064.30 and 1,428.96

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Solution

The fourth proportional to 3,375.39, 5,064.30 and 1,428.96 is: 2,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.39 : 5,064.30 = 1,428.96 : x
  2. Step 2: Convert to fraction form
    3,375.39/5,064.30 = 1,428.96/x
  3. Step 3: Cross multiply
    3,375.39x = 5,064.30 × 1,428.96
  4. Step 4: Simplify right side
    3,375.39x = 7,236,682.13
  5. Step 5: Solve for x
    x = 7,236,682.13/3,375.39
  6. Step 6: Final answer
    x = 2,143.95

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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.