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Finding the Fourth Proportional to 6,343.08, 9,509 and 2,444.80

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Solution

The fourth proportional to 6,343.08, 9,509 and 2,444.80 is: 3,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.08 : 9,509 = 2,444.80 : x
  2. Step 2: Convert to fraction form
    6,343.08/9,509 = 2,444.80/x
  3. Step 3: Cross multiply
    6,343.08x = 9,509 × 2,444.80
  4. Step 4: Simplify right side
    6,343.08x = 23,247,603.20
  5. Step 5: Solve for x
    x = 23,247,603.20/6,343.08
  6. Step 6: Final answer
    x = 3,665.03

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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.