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Finding the Fourth Proportional to 2,050.16, 3,074.71 and 733.71

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Solution

The fourth proportional to 2,050.16, 3,074.71 and 733.71 is: 1,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.16 : 3,074.71 = 733.71 : x
  2. Step 2: Convert to fraction form
    2,050.16/3,074.71 = 733.71/x
  3. Step 3: Cross multiply
    2,050.16x = 3,074.71 × 733.71
  4. Step 4: Simplify right side
    2,050.16x = 2,255,939.25
  5. Step 5: Solve for x
    x = 2,255,939.25/2,050.16
  6. Step 6: Final answer
    x = 1,100.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.