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Finding the Fourth Proportional to 2,069.55, 3,104.25 and 509.48

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Solution

The fourth proportional to 2,069.55, 3,104.25 and 509.48 is: 764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.55 : 3,104.25 = 509.48 : x
  2. Step 2: Convert to fraction form
    2,069.55/3,104.25 = 509.48/x
  3. Step 3: Cross multiply
    2,069.55x = 3,104.25 × 509.48
  4. Step 4: Simplify right side
    2,069.55x = 1,581,561.05
  5. Step 5: Solve for x
    x = 1,581,561.05/2,069.55
  6. Step 6: Final answer
    x = 764.21

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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.