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Finding the Fourth Proportional to 4,609.77, 6,914.49 and 1,489.75

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Solution

The fourth proportional to 4,609.77, 6,914.49 and 1,489.75 is: 2,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.77 : 6,914.49 = 1,489.75 : x
  2. Step 2: Convert to fraction form
    4,609.77/6,914.49 = 1,489.75/x
  3. Step 3: Cross multiply
    4,609.77x = 6,914.49 × 1,489.75
  4. Step 4: Simplify right side
    4,609.77x = 10,300,861.48
  5. Step 5: Solve for x
    x = 10,300,861.48/4,609.77
  6. Step 6: Final answer
    x = 2,234.57

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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.