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Finding the Fourth Proportional to 5,476.96, 8,218.20 and 2,191

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Solution

The fourth proportional to 5,476.96, 8,218.20 and 2,191 is: 3,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.96 : 8,218.20 = 2,191 : x
  2. Step 2: Convert to fraction form
    5,476.96/8,218.20 = 2,191/x
  3. Step 3: Cross multiply
    5,476.96x = 8,218.20 × 2,191
  4. Step 4: Simplify right side
    5,476.96x = 18,006,076.20
  5. Step 5: Solve for x
    x = 18,006,076.20/5,476.96
  6. Step 6: Final answer
    x = 3,287.60

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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.