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Finding the Fourth Proportional to 4,198.75, 5,757.43 and 4,089.40

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Solution

The fourth proportional to 4,198.75, 5,757.43 and 4,089.40 is: 5,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.75 : 5,757.43 = 4,089.40 : x
  2. Step 2: Convert to fraction form
    4,198.75/5,757.43 = 4,089.40/x
  3. Step 3: Cross multiply
    4,198.75x = 5,757.43 × 4,089.40
  4. Step 4: Simplify right side
    4,198.75x = 23,544,409.62
  5. Step 5: Solve for x
    x = 23,544,409.62/4,198.75
  6. Step 6: Final answer
    x = 5,607.48

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Half scale
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Double scale
Find fourth proportional to 4,199.75, 5,758.80 and 4,090.40
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.