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Finding the Fourth Proportional to 19,804.50, 27,344.79 and 13,505.94

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Solution

The fourth proportional to 19,804.50, 27,344.79 and 13,505.94 is: 18,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.50 : 27,344.79 = 13,505.94 : x
  2. Step 2: Convert to fraction form
    19,804.50/27,344.79 = 13,505.94/x
  3. Step 3: Cross multiply
    19,804.50x = 27,344.79 × 13,505.94
  4. Step 4: Simplify right side
    19,804.50x = 369,317,093.05
  5. Step 5: Solve for x
    x = 369,317,093.05/19,804.50
  6. Step 6: Final answer
    x = 18,648.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.