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Finding the Fourth Proportional to 13,081, 19,621.68 and 7,249

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Solution

The fourth proportional to 13,081, 19,621.68 and 7,249 is: 10,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081 : 19,621.68 = 7,249 : x
  2. Step 2: Convert to fraction form
    13,081/19,621.68 = 7,249/x
  3. Step 3: Cross multiply
    13,081x = 19,621.68 × 7,249
  4. Step 4: Simplify right side
    13,081x = 142,237,558.32
  5. Step 5: Solve for x
    x = 142,237,558.32/13,081
  6. Step 6: Final answer
    x = 10,873.60

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Why These Related Problems?

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