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Finding the Fourth Proportional to 3,779.78, 5,213.21 and 3,354.86

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Solution

The fourth proportional to 3,779.78, 5,213.21 and 3,354.86 is: 4,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.78 : 5,213.21 = 3,354.86 : x
  2. Step 2: Convert to fraction form
    3,779.78/5,213.21 = 3,354.86/x
  3. Step 3: Cross multiply
    3,779.78x = 5,213.21 × 3,354.86
  4. Step 4: Simplify right side
    3,779.78x = 17,489,572.02
  5. Step 5: Solve for x
    x = 17,489,572.02/3,779.78
  6. Step 6: Final answer
    x = 4,627.14

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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.