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Finding the Fourth Proportional to 3,188.49, 4,782.74 and 997.23

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Solution

The fourth proportional to 3,188.49, 4,782.74 and 997.23 is: 1,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.49 : 4,782.74 = 997.23 : x
  2. Step 2: Convert to fraction form
    3,188.49/4,782.74 = 997.23/x
  3. Step 3: Cross multiply
    3,188.49x = 4,782.74 × 997.23
  4. Step 4: Simplify right side
    3,188.49x = 4,769,486.82
  5. Step 5: Solve for x
    x = 4,769,486.82/3,188.49
  6. Step 6: Final answer
    x = 1,495.85

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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.