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Finding the Fourth Proportional to 2,009.53, 3,012 and 776.31

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Solution

The fourth proportional to 2,009.53, 3,012 and 776.31 is: 1,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.53 : 3,012 = 776.31 : x
  2. Step 2: Convert to fraction form
    2,009.53/3,012 = 776.31/x
  3. Step 3: Cross multiply
    2,009.53x = 3,012 × 776.31
  4. Step 4: Simplify right side
    2,009.53x = 2,338,245.72
  5. Step 5: Solve for x
    x = 2,338,245.72/2,009.53
  6. Step 6: Final answer
    x = 1,163.58

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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.