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Finding the Fourth Proportional to 12,884, 19,326 and 5,588

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Solution

The fourth proportional to 12,884, 19,326 and 5,588 is: 8,382

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884 : 19,326 = 5,588 : x
  2. Step 2: Convert to fraction form
    12,884/19,326 = 5,588/x
  3. Step 3: Cross multiply
    12,884x = 19,326 × 5,588
  4. Step 4: Simplify right side
    12,884x = 107,993,688
  5. Step 5: Solve for x
    x = 107,993,688/12,884
  6. Step 6: Final answer
    x = 8,382

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.