Home / 1,928.83-2,893.19-542.18

Finding the Fourth Proportional to 1,928.83, 2,893.19 and 542.18

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Solution

The fourth proportional to 1,928.83, 2,893.19 and 542.18 is: 813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.83 : 2,893.19 = 542.18 : x
  2. Step 2: Convert to fraction form
    1,928.83/2,893.19 = 542.18/x
  3. Step 3: Cross multiply
    1,928.83x = 2,893.19 × 542.18
  4. Step 4: Simplify right side
    1,928.83x = 1,568,629.75
  5. Step 5: Solve for x
    x = 1,568,629.75/1,928.83
  6. Step 6: Final answer
    x = 813.25

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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.