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Finding the Fourth Proportional to 2,069.75, 3,104.60 and 509.78

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Solution

The fourth proportional to 2,069.75, 3,104.60 and 509.78 is: 764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.75 : 3,104.60 = 509.78 : x
  2. Step 2: Convert to fraction form
    2,069.75/3,104.60 = 509.78/x
  3. Step 3: Cross multiply
    2,069.75x = 3,104.60 × 509.78
  4. Step 4: Simplify right side
    2,069.75x = 1,582,648.74
  5. Step 5: Solve for x
    x = 1,582,648.74/2,069.75
  6. Step 6: Final answer
    x = 764.66

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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.