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Finding the Fourth Proportional to 13,838.58, 20,768.94 and 7,268.64

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Solution

The fourth proportional to 13,838.58, 20,768.94 and 7,268.64 is: 10,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.58 : 20,768.94 = 7,268.64 : x
  2. Step 2: Convert to fraction form
    13,838.58/20,768.94 = 7,268.64/x
  3. Step 3: Cross multiply
    13,838.58x = 20,768.94 × 7,268.64
  4. Step 4: Simplify right side
    13,838.58x = 150,961,948.04
  5. Step 5: Solve for x
    x = 150,961,948.04/13,838.58
  6. Step 6: Final answer
    x = 10,908.77

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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.