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Finding the Fourth Proportional to 2,039.87, 3,059.33 and 943.63

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Solution

The fourth proportional to 2,039.87, 3,059.33 and 943.63 is: 1,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.87 : 3,059.33 = 943.63 : x
  2. Step 2: Convert to fraction form
    2,039.87/3,059.33 = 943.63/x
  3. Step 3: Cross multiply
    2,039.87x = 3,059.33 × 943.63
  4. Step 4: Simplify right side
    2,039.87x = 2,886,860.27
  5. Step 5: Solve for x
    x = 2,886,860.27/2,039.87
  6. Step 6: Final answer
    x = 1,415.22

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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.