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Finding the Fourth Proportional to 5,157.78, 7,734.12 and 3,676.20

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Solution

The fourth proportional to 5,157.78, 7,734.12 and 3,676.20 is: 5,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.78 : 7,734.12 = 3,676.20 : x
  2. Step 2: Convert to fraction form
    5,157.78/7,734.12 = 3,676.20/x
  3. Step 3: Cross multiply
    5,157.78x = 7,734.12 × 3,676.20
  4. Step 4: Simplify right side
    5,157.78x = 28,432,171.94
  5. Step 5: Solve for x
    x = 28,432,171.94/5,157.78
  6. Step 6: Final answer
    x = 5,512.48

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1.5x scale

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.