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Finding the Fourth Proportional to 2,057.98, 3,086.96 and 518.98

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Solution

The fourth proportional to 2,057.98, 3,086.96 and 518.98 is: 778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.98 : 3,086.96 = 518.98 : x
  2. Step 2: Convert to fraction form
    2,057.98/3,086.96 = 518.98/x
  3. Step 3: Cross multiply
    2,057.98x = 3,086.96 × 518.98
  4. Step 4: Simplify right side
    2,057.98x = 1,602,052.47
  5. Step 5: Solve for x
    x = 1,602,052.47/2,057.98
  6. Step 6: Final answer
    x = 778.46

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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.