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Finding the Fourth Proportional to 9,181.32, 13,768.44 and 2,940

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Solution

The fourth proportional to 9,181.32, 13,768.44 and 2,940 is: 4,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.32 : 13,768.44 = 2,940 : x
  2. Step 2: Convert to fraction form
    9,181.32/13,768.44 = 2,940/x
  3. Step 3: Cross multiply
    9,181.32x = 13,768.44 × 2,940
  4. Step 4: Simplify right side
    9,181.32x = 40,479,213.60
  5. Step 5: Solve for x
    x = 40,479,213.60/9,181.32
  6. Step 6: Final answer
    x = 4,408.87

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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.