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Finding the Fourth Proportional to 1,997.30, 2,969.00 and 1,938.24

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Solution

The fourth proportional to 1,997.30, 2,969.00 and 1,938.24 is: 2,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.30 : 2,969.00 = 1,938.24 : x
  2. Step 2: Convert to fraction form
    1,997.30/2,969.00 = 1,938.24/x
  3. Step 3: Cross multiply
    1,997.30x = 2,969.00 × 1,938.24
  4. Step 4: Simplify right side
    1,997.30x = 5,754,624.87
  5. Step 5: Solve for x
    x = 5,754,624.87/1,997.30
  6. Step 6: Final answer
    x = 2,881.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.