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Finding the Fourth Proportional to 1,997.92, 2,996 and 1,177.84

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Solution

The fourth proportional to 1,997.92, 2,996 and 1,177.84 is: 1,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.92 : 2,996 = 1,177.84 : x
  2. Step 2: Convert to fraction form
    1,997.92/2,996 = 1,177.84/x
  3. Step 3: Cross multiply
    1,997.92x = 2,996 × 1,177.84
  4. Step 4: Simplify right side
    1,997.92x = 3,528,808.64
  5. Step 5: Solve for x
    x = 3,528,808.64/1,997.92
  6. Step 6: Final answer
    x = 1,766.24

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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.