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Finding the Fourth Proportional to 1,889.53, 2,600.91 and 1,639.85

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Solution

The fourth proportional to 1,889.53, 2,600.91 and 1,639.85 is: 2,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.53 : 2,600.91 = 1,639.85 : x
  2. Step 2: Convert to fraction form
    1,889.53/2,600.91 = 1,639.85/x
  3. Step 3: Cross multiply
    1,889.53x = 2,600.91 × 1,639.85
  4. Step 4: Simplify right side
    1,889.53x = 4,265,089.26
  5. Step 5: Solve for x
    x = 4,265,089.26/1,889.53
  6. Step 6: Final answer
    x = 2,257.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.