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Finding the Fourth Proportional to 7,405.22, 10,219.31 and 4,048.23

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Solution

The fourth proportional to 7,405.22, 10,219.31 and 4,048.23 is: 5,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.22 : 10,219.31 = 4,048.23 : x
  2. Step 2: Convert to fraction form
    7,405.22/10,219.31 = 4,048.23/x
  3. Step 3: Cross multiply
    7,405.22x = 10,219.31 × 4,048.23
  4. Step 4: Simplify right side
    7,405.22x = 41,370,115.87
  5. Step 5: Solve for x
    x = 41,370,115.87/7,405.22
  6. Step 6: Final answer
    x = 5,586.61

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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.