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Finding the Fourth Proportional to 13,178, 19,767 and 3,944

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Solution

The fourth proportional to 13,178, 19,767 and 3,944 is: 5,916

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178 : 19,767 = 3,944 : x
  2. Step 2: Convert to fraction form
    13,178/19,767 = 3,944/x
  3. Step 3: Cross multiply
    13,178x = 19,767 × 3,944
  4. Step 4: Simplify right side
    13,178x = 77,961,048
  5. Step 5: Solve for x
    x = 77,961,048/13,178
  6. Step 6: Final answer
    x = 5,916

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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.