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Finding the Fourth Proportional to 1,928.78, 2,893.37 and 542.12

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Solution

The fourth proportional to 1,928.78, 2,893.37 and 542.12 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.78 : 2,893.37 = 542.12 : x
  2. Step 2: Convert to fraction form
    1,928.78/2,893.37 = 542.12/x
  3. Step 3: Cross multiply
    1,928.78x = 2,893.37 × 542.12
  4. Step 4: Simplify right side
    1,928.78x = 1,568,553.74
  5. Step 5: Solve for x
    x = 1,568,553.74/1,928.78
  6. Step 6: Final answer
    x = 813.24

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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.