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Finding the Fourth Proportional to 3,188.93, 4,783.39 and 997.64

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Solution

The fourth proportional to 3,188.93, 4,783.39 and 997.64 is: 1,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.93 : 4,783.39 = 997.64 : x
  2. Step 2: Convert to fraction form
    3,188.93/4,783.39 = 997.64/x
  3. Step 3: Cross multiply
    3,188.93x = 4,783.39 × 997.64
  4. Step 4: Simplify right side
    3,188.93x = 4,772,092.73
  5. Step 5: Solve for x
    x = 4,772,092.73/3,188.93
  6. Step 6: Final answer
    x = 1,496.46

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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.