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Finding the Fourth Proportional to 13,858.97, 20,790.50 and 5,093.19

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Solution

The fourth proportional to 13,858.97, 20,790.50 and 5,093.19 is: 7,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.97 : 20,790.50 = 5,093.19 : x
  2. Step 2: Convert to fraction form
    13,858.97/20,790.50 = 5,093.19/x
  3. Step 3: Cross multiply
    13,858.97x = 20,790.50 × 5,093.19
  4. Step 4: Simplify right side
    13,858.97x = 105,889,941.23
  5. Step 5: Solve for x
    x = 105,889,941.23/13,858.97
  6. Step 6: Final answer
    x = 7,640.54

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1.5x scale

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.