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Finding the Fourth Proportional to 3,076.96, 4,608.90 and 2,856.64

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Solution

The fourth proportional to 3,076.96, 4,608.90 and 2,856.64 is: 4,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.96 : 4,608.90 = 2,856.64 : x
  2. Step 2: Convert to fraction form
    3,076.96/4,608.90 = 2,856.64/x
  3. Step 3: Cross multiply
    3,076.96x = 4,608.90 × 2,856.64
  4. Step 4: Simplify right side
    3,076.96x = 13,165,968.10
  5. Step 5: Solve for x
    x = 13,165,968.10/3,076.96
  6. Step 6: Final answer
    x = 4,278.89

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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.