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Finding the Fourth Proportional to 2,123.78, 3,181.41 and 1,014.27

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Solution

The fourth proportional to 2,123.78, 3,181.41 and 1,014.27 is: 1,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.78 : 3,181.41 = 1,014.27 : x
  2. Step 2: Convert to fraction form
    2,123.78/3,181.41 = 1,014.27/x
  3. Step 3: Cross multiply
    2,123.78x = 3,181.41 × 1,014.27
  4. Step 4: Simplify right side
    2,123.78x = 3,226,808.72
  5. Step 5: Solve for x
    x = 3,226,808.72/2,123.78
  6. Step 6: Final answer
    x = 1,519.37

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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.