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Finding the Fourth Proportional to 6,871.85, 10,309.72 and 1,941.54

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Solution

The fourth proportional to 6,871.85, 10,309.72 and 1,941.54 is: 2,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.85 : 10,309.72 = 1,941.54 : x
  2. Step 2: Convert to fraction form
    6,871.85/10,309.72 = 1,941.54/x
  3. Step 3: Cross multiply
    6,871.85x = 10,309.72 × 1,941.54
  4. Step 4: Simplify right side
    6,871.85x = 20,016,733.77
  5. Step 5: Solve for x
    x = 20,016,733.77/6,871.85
  6. Step 6: Final answer
    x = 2,912.86

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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.