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Finding the Fourth Proportional to 13,900, 19,182 and 8,932

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Solution

The fourth proportional to 13,900, 19,182 and 8,932 is: 12,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900 : 19,182 = 8,932 : x
  2. Step 2: Convert to fraction form
    13,900/19,182 = 8,932/x
  3. Step 3: Cross multiply
    13,900x = 19,182 × 8,932
  4. Step 4: Simplify right side
    13,900x = 171,333,624
  5. Step 5: Solve for x
    x = 171,333,624/13,900
  6. Step 6: Final answer
    x = 12,326.16

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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.