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Finding the Fourth Proportional to 9,811, 14,718.33 and 3,971.71

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Solution

The fourth proportional to 9,811, 14,718.33 and 3,971.71 is: 5,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811 : 14,718.33 = 3,971.71 : x
  2. Step 2: Convert to fraction form
    9,811/14,718.33 = 3,971.71/x
  3. Step 3: Cross multiply
    9,811x = 14,718.33 × 3,971.71
  4. Step 4: Simplify right side
    9,811x = 58,456,938.44
  5. Step 5: Solve for x
    x = 58,456,938.44/9,811
  6. Step 6: Final answer
    x = 5,958.31

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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.