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Finding the Fourth Proportional to 3,078.54, 4,617.37 and 998.25

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Solution

The fourth proportional to 3,078.54, 4,617.37 and 998.25 is: 1,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.54 : 4,617.37 = 998.25 : x
  2. Step 2: Convert to fraction form
    3,078.54/4,617.37 = 998.25/x
  3. Step 3: Cross multiply
    3,078.54x = 4,617.37 × 998.25
  4. Step 4: Simplify right side
    3,078.54x = 4,609,268.49
  5. Step 5: Solve for x
    x = 4,609,268.49/3,078.54
  6. Step 6: Final answer
    x = 1,497.22

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Double scale
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Similar ratio
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1.5x scale

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.