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Finding the Fourth Proportional to 2,072.90, 3,109.35 and 774.68

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Solution

The fourth proportional to 2,072.90, 3,109.35 and 774.68 is: 1,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.90 : 3,109.35 = 774.68 : x
  2. Step 2: Convert to fraction form
    2,072.90/3,109.35 = 774.68/x
  3. Step 3: Cross multiply
    2,072.90x = 3,109.35 × 774.68
  4. Step 4: Simplify right side
    2,072.90x = 2,408,735.71
  5. Step 5: Solve for x
    x = 2,408,735.71/2,072.90
  6. Step 6: Final answer
    x = 1,162.02

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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.