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Finding the Fourth Proportional to 18,581.84, 25,676.16 and 13,821

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Solution

The fourth proportional to 18,581.84, 25,676.16 and 13,821 is: 19,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581.84 : 25,676.16 = 13,821 : x
  2. Step 2: Convert to fraction form
    18,581.84/25,676.16 = 13,821/x
  3. Step 3: Cross multiply
    18,581.84x = 25,676.16 × 13,821
  4. Step 4: Simplify right side
    18,581.84x = 354,870,207.36
  5. Step 5: Solve for x
    x = 354,870,207.36/18,581.84
  6. Step 6: Final answer
    x = 19,097.69

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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.