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Finding the Fourth Proportional to 13,984.09, 20,978.19 and 8,714.79

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Solution

The fourth proportional to 13,984.09, 20,978.19 and 8,714.79 is: 13,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.09 : 20,978.19 = 8,714.79 : x
  2. Step 2: Convert to fraction form
    13,984.09/20,978.19 = 8,714.79/x
  3. Step 3: Cross multiply
    13,984.09x = 20,978.19 × 8,714.79
  4. Step 4: Simplify right side
    13,984.09x = 182,820,520.43
  5. Step 5: Solve for x
    x = 182,820,520.43/13,984.09
  6. Step 6: Final answer
    x = 13,073.46

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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.