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Finding the Fourth Proportional to 20,846.58, 28,773.34 and 12,884

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Solution

The fourth proportional to 20,846.58, 28,773.34 and 12,884 is: 17,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.58 : 28,773.34 = 12,884 : x
  2. Step 2: Convert to fraction form
    20,846.58/28,773.34 = 12,884/x
  3. Step 3: Cross multiply
    20,846.58x = 28,773.34 × 12,884
  4. Step 4: Simplify right side
    20,846.58x = 370,715,712.56
  5. Step 5: Solve for x
    x = 370,715,712.56/20,846.58
  6. Step 6: Final answer
    x = 17,783.05

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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.