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Finding the Fourth Proportional to 2,090.43, 3,133.22 and 933.75

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Solution

The fourth proportional to 2,090.43, 3,133.22 and 933.75 is: 1,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.43 : 3,133.22 = 933.75 : x
  2. Step 2: Convert to fraction form
    2,090.43/3,133.22 = 933.75/x
  3. Step 3: Cross multiply
    2,090.43x = 3,133.22 × 933.75
  4. Step 4: Simplify right side
    2,090.43x = 2,925,639.51
  5. Step 5: Solve for x
    x = 2,925,639.51/2,090.43
  6. Step 6: Final answer
    x = 1,399.54

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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.