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Finding the Fourth Proportional to 4,163, 6,244.50 and 2,111

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Solution

The fourth proportional to 4,163, 6,244.50 and 2,111 is: 3,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163 : 6,244.50 = 2,111 : x
  2. Step 2: Convert to fraction form
    4,163/6,244.50 = 2,111/x
  3. Step 3: Cross multiply
    4,163x = 6,244.50 × 2,111
  4. Step 4: Simplify right side
    4,163x = 13,182,139.50
  5. Step 5: Solve for x
    x = 13,182,139.50/4,163
  6. Step 6: Final answer
    x = 3,166.50

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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.