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Finding the Fourth Proportional to 1,986.96, 2,978 and 1,498.48

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Solution

The fourth proportional to 1,986.96, 2,978 and 1,498.48 is: 2,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.96 : 2,978 = 1,498.48 : x
  2. Step 2: Convert to fraction form
    1,986.96/2,978 = 1,498.48/x
  3. Step 3: Cross multiply
    1,986.96x = 2,978 × 1,498.48
  4. Step 4: Simplify right side
    1,986.96x = 4,462,473.44
  5. Step 5: Solve for x
    x = 4,462,473.44/1,986.96
  6. Step 6: Final answer
    x = 2,245.88

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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.