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Finding the Fourth Proportional to 7,467.80, 11,205.30 and 5,271.80

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Solution

The fourth proportional to 7,467.80, 11,205.30 and 5,271.80 is: 7,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.80 : 11,205.30 = 5,271.80 : x
  2. Step 2: Convert to fraction form
    7,467.80/11,205.30 = 5,271.80/x
  3. Step 3: Cross multiply
    7,467.80x = 11,205.30 × 5,271.80
  4. Step 4: Simplify right side
    7,467.80x = 59,072,100.54
  5. Step 5: Solve for x
    x = 59,072,100.54/7,467.80
  6. Step 6: Final answer
    x = 7,910.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.