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Finding the Fourth Proportional to 7,722.72, 11,584.08 and 6,478.56

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Solution

The fourth proportional to 7,722.72, 11,584.08 and 6,478.56 is: 9,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.72 : 11,584.08 = 6,478.56 : x
  2. Step 2: Convert to fraction form
    7,722.72/11,584.08 = 6,478.56/x
  3. Step 3: Cross multiply
    7,722.72x = 11,584.08 × 6,478.56
  4. Step 4: Simplify right side
    7,722.72x = 75,048,157.32
  5. Step 5: Solve for x
    x = 75,048,157.32/7,722.72
  6. Step 6: Final answer
    x = 9,717.84

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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.