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Finding the Fourth Proportional to 4,589, 6,888.05 and 2,124.37

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Solution

The fourth proportional to 4,589, 6,888.05 and 2,124.37 is: 3,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589 : 6,888.05 = 2,124.37 : x
  2. Step 2: Convert to fraction form
    4,589/6,888.05 = 2,124.37/x
  3. Step 3: Cross multiply
    4,589x = 6,888.05 × 2,124.37
  4. Step 4: Simplify right side
    4,589x = 14,632,766.78
  5. Step 5: Solve for x
    x = 14,632,766.78/4,589
  6. Step 6: Final answer
    x = 3,188.66

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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.