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Finding the Fourth Proportional to 3,219.87, 4,819.37 and 1,737.03

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Solution

The fourth proportional to 3,219.87, 4,819.37 and 1,737.03 is: 2,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.87 : 4,819.37 = 1,737.03 : x
  2. Step 2: Convert to fraction form
    3,219.87/4,819.37 = 1,737.03/x
  3. Step 3: Cross multiply
    3,219.87x = 4,819.37 × 1,737.03
  4. Step 4: Simplify right side
    3,219.87x = 8,371,381.59
  5. Step 5: Solve for x
    x = 8,371,381.59/3,219.87
  6. Step 6: Final answer
    x = 2,599.91

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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.