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Finding the Fourth Proportional to 2,997, 4,134.63 and 1,989.18

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Solution

The fourth proportional to 2,997, 4,134.63 and 1,989.18 is: 2,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997 : 4,134.63 = 1,989.18 : x
  2. Step 2: Convert to fraction form
    2,997/4,134.63 = 1,989.18/x
  3. Step 3: Cross multiply
    2,997x = 4,134.63 × 1,989.18
  4. Step 4: Simplify right side
    2,997x = 8,224,523.30
  5. Step 5: Solve for x
    x = 8,224,523.30/2,997
  6. Step 6: Final answer
    x = 2,744.25

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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.