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Finding the Fourth Proportional to 13,070, 19,605 and 3,836

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Solution

The fourth proportional to 13,070, 19,605 and 3,836 is: 5,754

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070 : 19,605 = 3,836 : x
  2. Step 2: Convert to fraction form
    13,070/19,605 = 3,836/x
  3. Step 3: Cross multiply
    13,070x = 19,605 × 3,836
  4. Step 4: Simplify right side
    13,070x = 75,204,780
  5. Step 5: Solve for x
    x = 75,204,780/13,070
  6. Step 6: Final answer
    x = 5,754

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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.