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Finding the Fourth Proportional to 20,978.14, 28,949.82 and 12,594.64

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Solution

The fourth proportional to 20,978.14, 28,949.82 and 12,594.64 is: 17,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.14 : 28,949.82 = 12,594.64 : x
  2. Step 2: Convert to fraction form
    20,978.14/28,949.82 = 12,594.64/x
  3. Step 3: Cross multiply
    20,978.14x = 28,949.82 × 12,594.64
  4. Step 4: Simplify right side
    20,978.14x = 364,612,560.96
  5. Step 5: Solve for x
    x = 364,612,560.96/20,978.14
  6. Step 6: Final answer
    x = 17,380.60

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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.