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Finding the Fourth Proportional to 2,019.56, 3,027.80 and 787.83

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Solution

The fourth proportional to 2,019.56, 3,027.80 and 787.83 is: 1,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.56 : 3,027.80 = 787.83 : x
  2. Step 2: Convert to fraction form
    2,019.56/3,027.80 = 787.83/x
  3. Step 3: Cross multiply
    2,019.56x = 3,027.80 × 787.83
  4. Step 4: Simplify right side
    2,019.56x = 2,385,398.68
  5. Step 5: Solve for x
    x = 2,385,398.68/2,019.56
  6. Step 6: Final answer
    x = 1,181.15

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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.