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Finding the Fourth Proportional to 5,725, 8,589 and 1,621

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Solution

The fourth proportional to 5,725, 8,589 and 1,621 is: 2,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725 : 8,589 = 1,621 : x
  2. Step 2: Convert to fraction form
    5,725/8,589 = 1,621/x
  3. Step 3: Cross multiply
    5,725x = 8,589 × 1,621
  4. Step 4: Simplify right side
    5,725x = 13,922,769
  5. Step 5: Solve for x
    x = 13,922,769/5,725
  6. Step 6: Final answer
    x = 2,431.92

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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.