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Finding the Fourth Proportional to 19,809.38, 27,342.02 and 13,446.63

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Solution

The fourth proportional to 19,809.38, 27,342.02 and 13,446.63 is: 18,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.38 : 27,342.02 = 13,446.63 : x
  2. Step 2: Convert to fraction form
    19,809.38/27,342.02 = 13,446.63/x
  3. Step 3: Cross multiply
    19,809.38x = 27,342.02 × 13,446.63
  4. Step 4: Simplify right side
    19,809.38x = 367,658,060.01
  5. Step 5: Solve for x
    x = 367,658,060.01/19,809.38
  6. Step 6: Final answer
    x = 18,559.79

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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.