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Finding the Fourth Proportional to 3,166.50, 4,743.54 and 2,986.68

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Solution

The fourth proportional to 3,166.50, 4,743.54 and 2,986.68 is: 4,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.50 : 4,743.54 = 2,986.68 : x
  2. Step 2: Convert to fraction form
    3,166.50/4,743.54 = 2,986.68/x
  3. Step 3: Cross multiply
    3,166.50x = 4,743.54 × 2,986.68
  4. Step 4: Simplify right side
    3,166.50x = 14,167,436.05
  5. Step 5: Solve for x
    x = 14,167,436.05/3,166.50
  6. Step 6: Final answer
    x = 4,474.16

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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.