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Finding the Fourth Proportional to 8,106, 11,181.96 and 5,448.84

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Solution

The fourth proportional to 8,106, 11,181.96 and 5,448.84 is: 7,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106 : 11,181.96 = 5,448.84 : x
  2. Step 2: Convert to fraction form
    8,106/11,181.96 = 5,448.84/x
  3. Step 3: Cross multiply
    8,106x = 11,181.96 × 5,448.84
  4. Step 4: Simplify right side
    8,106x = 60,928,710.93
  5. Step 5: Solve for x
    x = 60,928,710.93/8,106
  6. Step 6: Final answer
    x = 7,516.50

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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.