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Finding the Fourth Proportional to 7,912.72, 11,868.72 and 4,619.20

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Solution

The fourth proportional to 7,912.72, 11,868.72 and 4,619.20 is: 6,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.72 : 11,868.72 = 4,619.20 : x
  2. Step 2: Convert to fraction form
    7,912.72/11,868.72 = 4,619.20/x
  3. Step 3: Cross multiply
    7,912.72x = 11,868.72 × 4,619.20
  4. Step 4: Simplify right side
    7,912.72x = 54,823,991.42
  5. Step 5: Solve for x
    x = 54,823,991.42/7,912.72
  6. Step 6: Final answer
    x = 6,928.59

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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.