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Finding the Fourth Proportional to 6,912.40, 10,390.20 and 6,782.80

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Solution

The fourth proportional to 6,912.40, 10,390.20 and 6,782.80 is: 10,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.40 : 10,390.20 = 6,782.80 : x
  2. Step 2: Convert to fraction form
    6,912.40/10,390.20 = 6,782.80/x
  3. Step 3: Cross multiply
    6,912.40x = 10,390.20 × 6,782.80
  4. Step 4: Simplify right side
    6,912.40x = 70,474,648.56
  5. Step 5: Solve for x
    x = 70,474,648.56/6,912.40
  6. Step 6: Final answer
    x = 10,195.40

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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.