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Finding the Fourth Proportional to 13,832, 19,088.64 and 7,863.92

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Solution

The fourth proportional to 13,832, 19,088.64 and 7,863.92 is: 10,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832 : 19,088.64 = 7,863.92 : x
  2. Step 2: Convert to fraction form
    13,832/19,088.64 = 7,863.92/x
  3. Step 3: Cross multiply
    13,832x = 19,088.64 × 7,863.92
  4. Step 4: Simplify right side
    13,832x = 150,111,537.87
  5. Step 5: Solve for x
    x = 150,111,537.87/13,832
  6. Step 6: Final answer
    x = 10,852.48

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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.