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Finding the Fourth Proportional to 13,314, 19,971 and 3,586

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Solution

The fourth proportional to 13,314, 19,971 and 3,586 is: 5,379

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314 : 19,971 = 3,586 : x
  2. Step 2: Convert to fraction form
    13,314/19,971 = 3,586/x
  3. Step 3: Cross multiply
    13,314x = 19,971 × 3,586
  4. Step 4: Simplify right side
    13,314x = 71,616,006
  5. Step 5: Solve for x
    x = 71,616,006/13,314
  6. Step 6: Final answer
    x = 5,379

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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.