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Finding the Fourth Proportional to 1,850.22, 2,774.76 and 809.96

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Solution

The fourth proportional to 1,850.22, 2,774.76 and 809.96 is: 1,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.22 : 2,774.76 = 809.96 : x
  2. Step 2: Convert to fraction form
    1,850.22/2,774.76 = 809.96/x
  3. Step 3: Cross multiply
    1,850.22x = 2,774.76 × 809.96
  4. Step 4: Simplify right side
    1,850.22x = 2,247,430.74
  5. Step 5: Solve for x
    x = 2,247,430.74/1,850.22
  6. Step 6: Final answer
    x = 1,214.68

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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.