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Finding the Fourth Proportional to 13,863.58, 19,131.71 and 7,895.25

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Solution

The fourth proportional to 13,863.58, 19,131.71 and 7,895.25 is: 10,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.58 : 19,131.71 = 7,895.25 : x
  2. Step 2: Convert to fraction form
    13,863.58/19,131.71 = 7,895.25/x
  3. Step 3: Cross multiply
    13,863.58x = 19,131.71 × 7,895.25
  4. Step 4: Simplify right side
    13,863.58x = 151,049,633.38
  5. Step 5: Solve for x
    x = 151,049,633.38/13,863.58
  6. Step 6: Final answer
    x = 10,895.43

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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.