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Finding the Fourth Proportional to 7,427, 11,144.34 and 3,779

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Solution

The fourth proportional to 7,427, 11,144.34 and 3,779 is: 5,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427 : 11,144.34 = 3,779 : x
  2. Step 2: Convert to fraction form
    7,427/11,144.34 = 3,779/x
  3. Step 3: Cross multiply
    7,427x = 11,144.34 × 3,779
  4. Step 4: Simplify right side
    7,427x = 42,114,460.86
  5. Step 5: Solve for x
    x = 42,114,460.86/7,427
  6. Step 6: Final answer
    x = 5,670.45

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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.