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Finding the Fourth Proportional to 6,512.70, 9,768.30 and 1,895.70

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Solution

The fourth proportional to 6,512.70, 9,768.30 and 1,895.70 is: 2,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.70 : 9,768.30 = 1,895.70 : x
  2. Step 2: Convert to fraction form
    6,512.70/9,768.30 = 1,895.70/x
  3. Step 3: Cross multiply
    6,512.70x = 9,768.30 × 1,895.70
  4. Step 4: Simplify right side
    6,512.70x = 18,517,766.31
  5. Step 5: Solve for x
    x = 18,517,766.31/6,512.70
  6. Step 6: Final answer
    x = 2,843.33

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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.