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Finding the Fourth Proportional to 7,608.72, 11,400.12 and 6,148.56

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Solution

The fourth proportional to 7,608.72, 11,400.12 and 6,148.56 is: 9,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.72 : 11,400.12 = 6,148.56 : x
  2. Step 2: Convert to fraction form
    7,608.72/11,400.12 = 6,148.56/x
  3. Step 3: Cross multiply
    7,608.72x = 11,400.12 × 6,148.56
  4. Step 4: Simplify right side
    7,608.72x = 70,094,321.83
  5. Step 5: Solve for x
    x = 70,094,321.83/7,608.72
  6. Step 6: Final answer
    x = 9,212.37

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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.