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Finding the Fourth Proportional to 7,176.06, 9,903.72 and 4,192.86

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Solution

The fourth proportional to 7,176.06, 9,903.72 and 4,192.86 is: 5,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.06 : 9,903.72 = 4,192.86 : x
  2. Step 2: Convert to fraction form
    7,176.06/9,903.72 = 4,192.86/x
  3. Step 3: Cross multiply
    7,176.06x = 9,903.72 × 4,192.86
  4. Step 4: Simplify right side
    7,176.06x = 41,524,911.44
  5. Step 5: Solve for x
    x = 41,524,911.44/7,176.06
  6. Step 6: Final answer
    x = 5,786.59

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