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Finding the Fourth Proportional to 9,872.50, 13,623.94 and 5,396.24

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Solution

The fourth proportional to 9,872.50, 13,623.94 and 5,396.24 is: 7,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.50 : 13,623.94 = 5,396.24 : x
  2. Step 2: Convert to fraction form
    9,872.50/13,623.94 = 5,396.24/x
  3. Step 3: Cross multiply
    9,872.50x = 13,623.94 × 5,396.24
  4. Step 4: Simplify right side
    9,872.50x = 73,518,049.99
  5. Step 5: Solve for x
    x = 73,518,049.99/9,872.50
  6. Step 6: Final answer
    x = 7,446.75

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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.