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Finding the Fourth Proportional to 2,989.94, 4,481.90 and 1,140.60

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Solution

The fourth proportional to 2,989.94, 4,481.90 and 1,140.60 is: 1,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.94 : 4,481.90 = 1,140.60 : x
  2. Step 2: Convert to fraction form
    2,989.94/4,481.90 = 1,140.60/x
  3. Step 3: Cross multiply
    2,989.94x = 4,481.90 × 1,140.60
  4. Step 4: Simplify right side
    2,989.94x = 5,112,055.14
  5. Step 5: Solve for x
    x = 5,112,055.14/2,989.94
  6. Step 6: Final answer
    x = 1,709.75

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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.