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Finding the Fourth Proportional to 20,469.84, 30,704.40 and 5,677.08

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Solution

The fourth proportional to 20,469.84, 30,704.40 and 5,677.08 is: 8,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.84 : 30,704.40 = 5,677.08 : x
  2. Step 2: Convert to fraction form
    20,469.84/30,704.40 = 5,677.08/x
  3. Step 3: Cross multiply
    20,469.84x = 30,704.40 × 5,677.08
  4. Step 4: Simplify right side
    20,469.84x = 174,311,335.15
  5. Step 5: Solve for x
    x = 174,311,335.15/20,469.84
  6. Step 6: Final answer
    x = 8,515.52

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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.