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Finding the Fourth Proportional to 7,389, 11,086.74 and 4,311

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Solution

The fourth proportional to 7,389, 11,086.74 and 4,311 is: 6,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389 : 11,086.74 = 4,311 : x
  2. Step 2: Convert to fraction form
    7,389/11,086.74 = 4,311/x
  3. Step 3: Cross multiply
    7,389x = 11,086.74 × 4,311
  4. Step 4: Simplify right side
    7,389x = 47,794,936.14
  5. Step 5: Solve for x
    x = 47,794,936.14/7,389
  6. Step 6: Final answer
    x = 6,468.39

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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.