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Finding the Fourth Proportional to 2,010.22, 3,015.79 and 777.64

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Solution

The fourth proportional to 2,010.22, 3,015.79 and 777.64 is: 1,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.22 : 3,015.79 = 777.64 : x
  2. Step 2: Convert to fraction form
    2,010.22/3,015.79 = 777.64/x
  3. Step 3: Cross multiply
    2,010.22x = 3,015.79 × 777.64
  4. Step 4: Simplify right side
    2,010.22x = 2,345,198.94
  5. Step 5: Solve for x
    x = 2,345,198.94/2,010.22
  6. Step 6: Final answer
    x = 1,166.64

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1.5x scale

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.