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Finding the Fourth Proportional to 9,200.44, 13,797.78 and 3,043

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Solution

The fourth proportional to 9,200.44, 13,797.78 and 3,043 is: 4,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.44 : 13,797.78 = 3,043 : x
  2. Step 2: Convert to fraction form
    9,200.44/13,797.78 = 3,043/x
  3. Step 3: Cross multiply
    9,200.44x = 13,797.78 × 3,043
  4. Step 4: Simplify right side
    9,200.44x = 41,986,644.54
  5. Step 5: Solve for x
    x = 41,986,644.54/9,200.44
  6. Step 6: Final answer
    x = 4,563.55

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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.