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Finding the Fourth Proportional to 1,997.64, 2,991.60 and 1,379.70

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Solution

The fourth proportional to 1,997.64, 2,991.60 and 1,379.70 is: 2,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.64 : 2,991.60 = 1,379.70 : x
  2. Step 2: Convert to fraction form
    1,997.64/2,991.60 = 1,379.70/x
  3. Step 3: Cross multiply
    1,997.64x = 2,991.60 × 1,379.70
  4. Step 4: Simplify right side
    1,997.64x = 4,127,510.52
  5. Step 5: Solve for x
    x = 4,127,510.52/1,997.64
  6. Step 6: Final answer
    x = 2,066.19

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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.