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Finding the Fourth Proportional to 4,167, 6,252.66 and 2,115

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Solution

The fourth proportional to 4,167, 6,252.66 and 2,115 is: 3,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167 : 6,252.66 = 2,115 : x
  2. Step 2: Convert to fraction form
    4,167/6,252.66 = 2,115/x
  3. Step 3: Cross multiply
    4,167x = 6,252.66 × 2,115
  4. Step 4: Simplify right side
    4,167x = 13,224,375.90
  5. Step 5: Solve for x
    x = 13,224,375.90/4,167
  6. Step 6: Final answer
    x = 3,173.60

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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.