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Finding the Fourth Proportional to 2,589, 3,573.90 and 1,658.04

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Solution

The fourth proportional to 2,589, 3,573.90 and 1,658.04 is: 2,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589 : 3,573.90 = 1,658.04 : x
  2. Step 2: Convert to fraction form
    2,589/3,573.90 = 1,658.04/x
  3. Step 3: Cross multiply
    2,589x = 3,573.90 × 1,658.04
  4. Step 4: Simplify right side
    2,589x = 5,925,669.16
  5. Step 5: Solve for x
    x = 5,925,669.16/2,589
  6. Step 6: Final answer
    x = 2,288.79

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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.