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Finding the Fourth Proportional to 2,069.41, 3,104.15 and 509.42

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Solution

The fourth proportional to 2,069.41, 3,104.15 and 509.42 is: 764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.41 : 3,104.15 = 509.42 : x
  2. Step 2: Convert to fraction form
    2,069.41/3,104.15 = 509.42/x
  3. Step 3: Cross multiply
    2,069.41x = 3,104.15 × 509.42
  4. Step 4: Simplify right side
    2,069.41x = 1,581,316.09
  5. Step 5: Solve for x
    x = 1,581,316.09/2,069.41
  6. Step 6: Final answer
    x = 764.14

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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.