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Finding the Fourth Proportional to 13,804, 19,052 and 8,138.41

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Solution

The fourth proportional to 13,804, 19,052 and 8,138.41 is: 11,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804 : 19,052 = 8,138.41 : x
  2. Step 2: Convert to fraction form
    13,804/19,052 = 8,138.41/x
  3. Step 3: Cross multiply
    13,804x = 19,052 × 8,138.41
  4. Step 4: Simplify right side
    13,804x = 155,052,987.32
  5. Step 5: Solve for x
    x = 155,052,987.32/13,804
  6. Step 6: Final answer
    x = 11,232.47

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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.