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Finding the Fourth Proportional to 1,997.88, 2,997.84 and 1,347.25

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Solution

The fourth proportional to 1,997.88, 2,997.84 and 1,347.25 is: 2,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.88 : 2,997.84 = 1,347.25 : x
  2. Step 2: Convert to fraction form
    1,997.88/2,997.84 = 1,347.25/x
  3. Step 3: Cross multiply
    1,997.88x = 2,997.84 × 1,347.25
  4. Step 4: Simplify right side
    1,997.88x = 4,038,836.57
  5. Step 5: Solve for x
    x = 4,038,836.57/1,997.88
  6. Step 6: Final answer
    x = 2,021.56

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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.