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Finding the Fourth Proportional to 20,522.33, 30,783.49 and 4,939.95

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Solution

The fourth proportional to 20,522.33, 30,783.49 and 4,939.95 is: 7,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.33 : 30,783.49 = 4,939.95 : x
  2. Step 2: Convert to fraction form
    20,522.33/30,783.49 = 4,939.95/x
  3. Step 3: Cross multiply
    20,522.33x = 30,783.49 × 4,939.95
  4. Step 4: Simplify right side
    20,522.33x = 152,068,889.08
  5. Step 5: Solve for x
    x = 152,068,889.08/20,522.33
  6. Step 6: Final answer
    x = 7,409.93

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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.