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Finding the Fourth Proportional to 3,460.49, 5,190.74 and 863.43

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Solution

The fourth proportional to 3,460.49, 5,190.74 and 863.43 is: 1,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.49 : 5,190.74 = 863.43 : x
  2. Step 2: Convert to fraction form
    3,460.49/5,190.74 = 863.43/x
  3. Step 3: Cross multiply
    3,460.49x = 5,190.74 × 863.43
  4. Step 4: Simplify right side
    3,460.49x = 4,481,840.64
  5. Step 5: Solve for x
    x = 4,481,840.64/3,460.49
  6. Step 6: Final answer
    x = 1,295.15

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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.