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Finding the Fourth Proportional to 20,640.72, 30,821.19 and 16,208.40

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Solution

The fourth proportional to 20,640.72, 30,821.19 and 16,208.40 is: 24,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.72 : 30,821.19 = 16,208.40 : x
  2. Step 2: Convert to fraction form
    20,640.72/30,821.19 = 16,208.40/x
  3. Step 3: Cross multiply
    20,640.72x = 30,821.19 × 16,208.40
  4. Step 4: Simplify right side
    20,640.72x = 499,562,176.00
  5. Step 5: Solve for x
    x = 499,562,176.00/20,640.72
  6. Step 6: Final answer
    x = 24,202.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.