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Finding the Fourth Proportional to 2,035.46, 3,052.98 and 719

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Solution

The fourth proportional to 2,035.46, 3,052.98 and 719 is: 1,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.46 : 3,052.98 = 719 : x
  2. Step 2: Convert to fraction form
    2,035.46/3,052.98 = 719/x
  3. Step 3: Cross multiply
    2,035.46x = 3,052.98 × 719
  4. Step 4: Simplify right side
    2,035.46x = 2,195,092.62
  5. Step 5: Solve for x
    x = 2,195,092.62/2,035.46
  6. Step 6: Final answer
    x = 1,078.43

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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.