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Finding the Fourth Proportional to 5,447.90, 8,166 and 2,156.42

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Solution

The fourth proportional to 5,447.90, 8,166 and 2,156.42 is: 3,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.90 : 8,166 = 2,156.42 : x
  2. Step 2: Convert to fraction form
    5,447.90/8,166 = 2,156.42/x
  3. Step 3: Cross multiply
    5,447.90x = 8,166 × 2,156.42
  4. Step 4: Simplify right side
    5,447.90x = 17,609,325.72
  5. Step 5: Solve for x
    x = 17,609,325.72/5,447.90
  6. Step 6: Final answer
    x = 3,232.31

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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.