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Finding the Fourth Proportional to 1,999.38, 2,997.78 and 958.02

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Solution

The fourth proportional to 1,999.38, 2,997.78 and 958.02 is: 1,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.38 : 2,997.78 = 958.02 : x
  2. Step 2: Convert to fraction form
    1,999.38/2,997.78 = 958.02/x
  3. Step 3: Cross multiply
    1,999.38x = 2,997.78 × 958.02
  4. Step 4: Simplify right side
    1,999.38x = 2,871,933.20
  5. Step 5: Solve for x
    x = 2,871,933.20/1,999.38
  6. Step 6: Final answer
    x = 1,436.41

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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.