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Finding the Fourth Proportional to 14,186, 21,279 and 3,797.52

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Solution

The fourth proportional to 14,186, 21,279 and 3,797.52 is: 5,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186 : 21,279 = 3,797.52 : x
  2. Step 2: Convert to fraction form
    14,186/21,279 = 3,797.52/x
  3. Step 3: Cross multiply
    14,186x = 21,279 × 3,797.52
  4. Step 4: Simplify right side
    14,186x = 80,807,428.08
  5. Step 5: Solve for x
    x = 80,807,428.08/14,186
  6. Step 6: Final answer
    x = 5,696.28

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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.