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Finding the Fourth Proportional to 8,811, 12,165.66 and 6,011.64

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Solution

The fourth proportional to 8,811, 12,165.66 and 6,011.64 is: 8,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811 : 12,165.66 = 6,011.64 : x
  2. Step 2: Convert to fraction form
    8,811/12,165.66 = 6,011.64/x
  3. Step 3: Cross multiply
    8,811x = 12,165.66 × 6,011.64
  4. Step 4: Simplify right side
    8,811x = 73,135,568.28
  5. Step 5: Solve for x
    x = 73,135,568.28/8,811
  6. Step 6: Final answer
    x = 8,300.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.