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Finding the Fourth Proportional to 3,188.74, 4,783.11 and 997.48

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Solution

The fourth proportional to 3,188.74, 4,783.11 and 997.48 is: 1,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.74 : 4,783.11 = 997.48 : x
  2. Step 2: Convert to fraction form
    3,188.74/4,783.11 = 997.48/x
  3. Step 3: Cross multiply
    3,188.74x = 4,783.11 × 997.48
  4. Step 4: Simplify right side
    3,188.74x = 4,771,056.56
  5. Step 5: Solve for x
    x = 4,771,056.56/3,188.74
  6. Step 6: Final answer
    x = 1,496.22

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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.