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Finding the Fourth Proportional to 20,504.78, 30,762 and 6,653.78

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Solution

The fourth proportional to 20,504.78, 30,762 and 6,653.78 is: 9,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.78 : 30,762 = 6,653.78 : x
  2. Step 2: Convert to fraction form
    20,504.78/30,762 = 6,653.78/x
  3. Step 3: Cross multiply
    20,504.78x = 30,762 × 6,653.78
  4. Step 4: Simplify right side
    20,504.78x = 204,683,580.36
  5. Step 5: Solve for x
    x = 204,683,580.36/20,504.78
  6. Step 6: Final answer
    x = 9,982.24

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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.