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Finding the Fourth Proportional to 5,057.22, 6,978.78 and 2,961.30

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Solution

The fourth proportional to 5,057.22, 6,978.78 and 2,961.30 is: 4,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.22 : 6,978.78 = 2,961.30 : x
  2. Step 2: Convert to fraction form
    5,057.22/6,978.78 = 2,961.30/x
  3. Step 3: Cross multiply
    5,057.22x = 6,978.78 × 2,961.30
  4. Step 4: Simplify right side
    5,057.22x = 20,666,261.21
  5. Step 5: Solve for x
    x = 20,666,261.21/5,057.22
  6. Step 6: Final answer
    x = 4,086.49

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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.