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Finding the Fourth Proportional to 22,783.50, 34,161 and 7,993.80

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Solution

The fourth proportional to 22,783.50, 34,161 and 7,993.80 is: 11,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.50 : 34,161 = 7,993.80 : x
  2. Step 2: Convert to fraction form
    22,783.50/34,161 = 7,993.80/x
  3. Step 3: Cross multiply
    22,783.50x = 34,161 × 7,993.80
  4. Step 4: Simplify right side
    22,783.50x = 273,076,201.80
  5. Step 5: Solve for x
    x = 273,076,201.80/22,783.50
  6. Step 6: Final answer
    x = 11,985.70

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1.5x scale

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.