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Finding the Fourth Proportional to 4,275.39, 6,408.09 and 3,789.39

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Solution

The fourth proportional to 4,275.39, 6,408.09 and 3,789.39 is: 5,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.39 : 6,408.09 = 3,789.39 : x
  2. Step 2: Convert to fraction form
    4,275.39/6,408.09 = 3,789.39/x
  3. Step 3: Cross multiply
    4,275.39x = 6,408.09 × 3,789.39
  4. Step 4: Simplify right side
    4,275.39x = 24,282,752.17
  5. Step 5: Solve for x
    x = 24,282,752.17/4,275.39
  6. Step 6: Final answer
    x = 5,679.66

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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.