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Finding the Fourth Proportional to 20,664.78, 30,978.27 and 8,973.78

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Solution

The fourth proportional to 20,664.78, 30,978.27 and 8,973.78 is: 13,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,664.78 : 30,978.27 = 8,973.78 : x
  2. Step 2: Convert to fraction form
    20,664.78/30,978.27 = 8,973.78/x
  3. Step 3: Cross multiply
    20,664.78x = 30,978.27 × 8,973.78
  4. Step 4: Simplify right side
    20,664.78x = 277,992,179.76
  5. Step 5: Solve for x
    x = 277,992,179.76/20,664.78
  6. Step 6: Final answer
    x = 13,452.46

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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.