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Finding the Fourth Proportional to 8,181.06, 11,290.11 and 4,644.06

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Solution

The fourth proportional to 8,181.06, 11,290.11 and 4,644.06 is: 6,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.06 : 11,290.11 = 4,644.06 : x
  2. Step 2: Convert to fraction form
    8,181.06/11,290.11 = 4,644.06/x
  3. Step 3: Cross multiply
    8,181.06x = 11,290.11 × 4,644.06
  4. Step 4: Simplify right side
    8,181.06x = 52,431,948.25
  5. Step 5: Solve for x
    x = 52,431,948.25/8,181.06
  6. Step 6: Final answer
    x = 6,408.94

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1.5x scale

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.