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Finding the Fourth Proportional to 20,635.88, 30,954.24 and 6,784.88

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Solution

The fourth proportional to 20,635.88, 30,954.24 and 6,784.88 is: 10,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.88 : 30,954.24 = 6,784.88 : x
  2. Step 2: Convert to fraction form
    20,635.88/30,954.24 = 6,784.88/x
  3. Step 3: Cross multiply
    20,635.88x = 30,954.24 × 6,784.88
  4. Step 4: Simplify right side
    20,635.88x = 210,020,649.12
  5. Step 5: Solve for x
    x = 210,020,649.12/20,635.88
  6. Step 6: Final answer
    x = 10,177.45

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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.