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Finding the Fourth Proportional to 14,279.25, 21,418.91 and 3,891

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Solution

The fourth proportional to 14,279.25, 21,418.91 and 3,891 is: 5,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,279.25 : 21,418.91 = 3,891 : x
  2. Step 2: Convert to fraction form
    14,279.25/21,418.91 = 3,891/x
  3. Step 3: Cross multiply
    14,279.25x = 21,418.91 × 3,891
  4. Step 4: Simplify right side
    14,279.25x = 83,340,978.81
  5. Step 5: Solve for x
    x = 83,340,978.81/14,279.25
  6. Step 6: Final answer
    x = 5,836.51

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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.