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Finding the Fourth Proportional to 2,003.56, 2,997.95 and 1,419.14

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Solution

The fourth proportional to 2,003.56, 2,997.95 and 1,419.14 is: 2,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.56 : 2,997.95 = 1,419.14 : x
  2. Step 2: Convert to fraction form
    2,003.56/2,997.95 = 1,419.14/x
  3. Step 3: Cross multiply
    2,003.56x = 2,997.95 × 1,419.14
  4. Step 4: Simplify right side
    2,003.56x = 4,254,511.16
  5. Step 5: Solve for x
    x = 4,254,511.16/2,003.56
  6. Step 6: Final answer
    x = 2,123.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.