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Finding the Fourth Proportional to 13,039.84, 19,563 and 3,805.84

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Solution

The fourth proportional to 13,039.84, 19,563 and 3,805.84 is: 5,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.84 : 19,563 = 3,805.84 : x
  2. Step 2: Convert to fraction form
    13,039.84/19,563 = 3,805.84/x
  3. Step 3: Cross multiply
    13,039.84x = 19,563 × 3,805.84
  4. Step 4: Simplify right side
    13,039.84x = 74,453,647.92
  5. Step 5: Solve for x
    x = 74,453,647.92/13,039.84
  6. Step 6: Final answer
    x = 5,709.71

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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.