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Finding the Fourth Proportional to 4,186, 6,279.12 and 1,108

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Solution

The fourth proportional to 4,186, 6,279.12 and 1,108 is: 1,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 6,279.12 = 1,108 : x
  2. Step 2: Convert to fraction form
    4,186/6,279.12 = 1,108/x
  3. Step 3: Cross multiply
    4,186x = 6,279.12 × 1,108
  4. Step 4: Simplify right side
    4,186x = 6,957,264.96
  5. Step 5: Solve for x
    x = 6,957,264.96/4,186
  6. Step 6: Final answer
    x = 1,662.03

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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.