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Finding the Fourth Proportional to 2,566.89, 3,850.34 and 619.09

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Solution

The fourth proportional to 2,566.89, 3,850.34 and 619.09 is: 928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.89 : 3,850.34 = 619.09 : x
  2. Step 2: Convert to fraction form
    2,566.89/3,850.34 = 619.09/x
  3. Step 3: Cross multiply
    2,566.89x = 3,850.34 × 619.09
  4. Step 4: Simplify right side
    2,566.89x = 2,383,706.99
  5. Step 5: Solve for x
    x = 2,383,706.99/2,566.89
  6. Step 6: Final answer
    x = 928.64

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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.