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Finding the Fourth Proportional to 18,581.21, 27,872.73 and 7,486.40

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Solution

The fourth proportional to 18,581.21, 27,872.73 and 7,486.40 is: 11,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581.21 : 27,872.73 = 7,486.40 : x
  2. Step 2: Convert to fraction form
    18,581.21/27,872.73 = 7,486.40/x
  3. Step 3: Cross multiply
    18,581.21x = 27,872.73 × 7,486.40
  4. Step 4: Simplify right side
    18,581.21x = 208,666,266.51
  5. Step 5: Solve for x
    x = 208,666,266.51/18,581.21
  6. Step 6: Final answer
    x = 11,229.96

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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.