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Finding the Fourth Proportional to 3,076.75, 4,615.13 and 998.49

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Solution

The fourth proportional to 3,076.75, 4,615.13 and 998.49 is: 1,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.75 : 4,615.13 = 998.49 : x
  2. Step 2: Convert to fraction form
    3,076.75/4,615.13 = 998.49/x
  3. Step 3: Cross multiply
    3,076.75x = 4,615.13 × 998.49
  4. Step 4: Simplify right side
    3,076.75x = 4,608,161.15
  5. Step 5: Solve for x
    x = 4,608,161.15/3,076.75
  6. Step 6: Final answer
    x = 1,497.74

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Half scale
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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.