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Finding the Fourth Proportional to 3,143.70, 4,713.03 and 1,295.73

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Solution

The fourth proportional to 3,143.70, 4,713.03 and 1,295.73 is: 1,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.70 : 4,713.03 = 1,295.73 : x
  2. Step 2: Convert to fraction form
    3,143.70/4,713.03 = 1,295.73/x
  3. Step 3: Cross multiply
    3,143.70x = 4,713.03 × 1,295.73
  4. Step 4: Simplify right side
    3,143.70x = 6,106,814.36
  5. Step 5: Solve for x
    x = 6,106,814.36/3,143.70
  6. Step 6: Final answer
    x = 1,942.56

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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.