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Finding the Fourth Proportional to 2,273.83, 3,410.73 and 1,040.90

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Solution

The fourth proportional to 2,273.83, 3,410.73 and 1,040.90 is: 1,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.83 : 3,410.73 = 1,040.90 : x
  2. Step 2: Convert to fraction form
    2,273.83/3,410.73 = 1,040.90/x
  3. Step 3: Cross multiply
    2,273.83x = 3,410.73 × 1,040.90
  4. Step 4: Simplify right side
    2,273.83x = 3,550,211.80
  5. Step 5: Solve for x
    x = 3,550,211.80/2,273.83
  6. Step 6: Final answer
    x = 1,561.34

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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.