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Finding the Fourth Proportional to 3,163.16, 4,743.38 and 971.36

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Solution

The fourth proportional to 3,163.16, 4,743.38 and 971.36 is: 1,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.16 : 4,743.38 = 971.36 : x
  2. Step 2: Convert to fraction form
    3,163.16/4,743.38 = 971.36/x
  3. Step 3: Cross multiply
    3,163.16x = 4,743.38 × 971.36
  4. Step 4: Simplify right side
    3,163.16x = 4,607,529.60
  5. Step 5: Solve for x
    x = 4,607,529.60/3,163.16
  6. Step 6: Final answer
    x = 1,456.62

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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.