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Finding the Fourth Proportional to 13,978.41, 20,968.32 and 4,619.27

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Solution

The fourth proportional to 13,978.41, 20,968.32 and 4,619.27 is: 6,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.41 : 20,968.32 = 4,619.27 : x
  2. Step 2: Convert to fraction form
    13,978.41/20,968.32 = 4,619.27/x
  3. Step 3: Cross multiply
    13,978.41x = 20,968.32 × 4,619.27
  4. Step 4: Simplify right side
    13,978.41x = 96,858,226.68
  5. Step 5: Solve for x
    x = 96,858,226.68/13,978.41
  6. Step 6: Final answer
    x = 6,929.13

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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.