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Finding the Fourth Proportional to 13,967.84, 20,955.44 and 8,119.44

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Solution

The fourth proportional to 13,967.84, 20,955.44 and 8,119.44 is: 12,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.84 : 20,955.44 = 8,119.44 : x
  2. Step 2: Convert to fraction form
    13,967.84/20,955.44 = 8,119.44/x
  3. Step 3: Cross multiply
    13,967.84x = 20,955.44 × 8,119.44
  4. Step 4: Simplify right side
    13,967.84x = 170,146,458.05
  5. Step 5: Solve for x
    x = 170,146,458.05/13,967.84
  6. Step 6: Final answer
    x = 12,181.30

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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.