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Finding the Fourth Proportional to 20,540.84, 28,347.22 and 12,984.45

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Solution

The fourth proportional to 20,540.84, 28,347.22 and 12,984.45 is: 17,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.84 : 28,347.22 = 12,984.45 : x
  2. Step 2: Convert to fraction form
    20,540.84/28,347.22 = 12,984.45/x
  3. Step 3: Cross multiply
    20,540.84x = 28,347.22 × 12,984.45
  4. Step 4: Simplify right side
    20,540.84x = 368,073,183.26
  5. Step 5: Solve for x
    x = 368,073,183.26/20,540.84
  6. Step 6: Final answer
    x = 17,919.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.