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Finding the Fourth Proportional to 13,894.36, 20,843.25 and 4,531.87

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Solution

The fourth proportional to 13,894.36, 20,843.25 and 4,531.87 is: 6,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.36 : 20,843.25 = 4,531.87 : x
  2. Step 2: Convert to fraction form
    13,894.36/20,843.25 = 4,531.87/x
  3. Step 3: Cross multiply
    13,894.36x = 20,843.25 × 4,531.87
  4. Step 4: Simplify right side
    13,894.36x = 94,458,899.38
  5. Step 5: Solve for x
    x = 94,458,899.38/13,894.36
  6. Step 6: Final answer
    x = 6,798.36

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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.