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Finding the Fourth Proportional to 2,018.70, 3,027.53 and 719.98

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Solution

The fourth proportional to 2,018.70, 3,027.53 and 719.98 is: 1,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.70 : 3,027.53 = 719.98 : x
  2. Step 2: Convert to fraction form
    2,018.70/3,027.53 = 719.98/x
  3. Step 3: Cross multiply
    2,018.70x = 3,027.53 × 719.98
  4. Step 4: Simplify right side
    2,018.70x = 2,179,761.05
  5. Step 5: Solve for x
    x = 2,179,761.05/2,018.70
  6. Step 6: Final answer
    x = 1,079.78

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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.