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Finding the Fourth Proportional to 4,186, 6,279 and 1,722.16

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Solution

The fourth proportional to 4,186, 6,279 and 1,722.16 is: 2,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 6,279 = 1,722.16 : x
  2. Step 2: Convert to fraction form
    4,186/6,279 = 1,722.16/x
  3. Step 3: Cross multiply
    4,186x = 6,279 × 1,722.16
  4. Step 4: Simplify right side
    4,186x = 10,813,442.64
  5. Step 5: Solve for x
    x = 10,813,442.64/4,186
  6. Step 6: Final answer
    x = 2,583.24

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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.