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Finding the Fourth Proportional to 3,162.80, 4,743.99 and 971.34

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Solution

The fourth proportional to 3,162.80, 4,743.99 and 971.34 is: 1,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.80 : 4,743.99 = 971.34 : x
  2. Step 2: Convert to fraction form
    3,162.80/4,743.99 = 971.34/x
  3. Step 3: Cross multiply
    3,162.80x = 4,743.99 × 971.34
  4. Step 4: Simplify right side
    3,162.80x = 4,608,027.25
  5. Step 5: Solve for x
    x = 4,608,027.25/3,162.80
  6. Step 6: Final answer
    x = 1,456.95

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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.