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Finding the Fourth Proportional to 9,811, 14,719.76 and 3,964.44

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Solution

The fourth proportional to 9,811, 14,719.76 and 3,964.44 is: 5,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811 : 14,719.76 = 3,964.44 : x
  2. Step 2: Convert to fraction form
    9,811/14,719.76 = 3,964.44/x
  3. Step 3: Cross multiply
    9,811x = 14,719.76 × 3,964.44
  4. Step 4: Simplify right side
    9,811x = 58,355,605.33
  5. Step 5: Solve for x
    x = 58,355,605.33/9,811
  6. Step 6: Final answer
    x = 5,947.98

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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.