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Finding the Fourth Proportional to 8,409.06, 11,578.41 and 7,212.42

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Solution

The fourth proportional to 8,409.06, 11,578.41 and 7,212.42 is: 9,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.06 : 11,578.41 = 7,212.42 : x
  2. Step 2: Convert to fraction form
    8,409.06/11,578.41 = 7,212.42/x
  3. Step 3: Cross multiply
    8,409.06x = 11,578.41 × 7,212.42
  4. Step 4: Simplify right side
    8,409.06x = 83,508,355.85
  5. Step 5: Solve for x
    x = 83,508,355.85/8,409.06
  6. Step 6: Final answer
    x = 9,930.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.