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Finding the Fourth Proportional to 2,074.87, 3,112.67 and 776.31

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Solution

The fourth proportional to 2,074.87, 3,112.67 and 776.31 is: 1,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.87 : 3,112.67 = 776.31 : x
  2. Step 2: Convert to fraction form
    2,074.87/3,112.67 = 776.31/x
  3. Step 3: Cross multiply
    2,074.87x = 3,112.67 × 776.31
  4. Step 4: Simplify right side
    2,074.87x = 2,416,396.85
  5. Step 5: Solve for x
    x = 2,416,396.85/2,074.87
  6. Step 6: Final answer
    x = 1,164.60

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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.