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Finding the Fourth Proportional to 20,523.20, 30,784.80 and 4,940.82

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Solution

The fourth proportional to 20,523.20, 30,784.80 and 4,940.82 is: 7,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.20 : 30,784.80 = 4,940.82 : x
  2. Step 2: Convert to fraction form
    20,523.20/30,784.80 = 4,940.82/x
  3. Step 3: Cross multiply
    20,523.20x = 30,784.80 × 4,940.82
  4. Step 4: Simplify right side
    20,523.20x = 152,102,155.54
  5. Step 5: Solve for x
    x = 152,102,155.54/20,523.20
  6. Step 6: Final answer
    x = 7,411.23

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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.