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Finding the Fourth Proportional to 20,474.80, 30,709.14 and 5,682.16

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Solution

The fourth proportional to 20,474.80, 30,709.14 and 5,682.16 is: 8,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.80 : 30,709.14 = 5,682.16 : x
  2. Step 2: Convert to fraction form
    20,474.80/30,709.14 = 5,682.16/x
  3. Step 3: Cross multiply
    20,474.80x = 30,709.14 × 5,682.16
  4. Step 4: Simplify right side
    20,474.80x = 174,494,246.94
  5. Step 5: Solve for x
    x = 174,494,246.94/20,474.80
  6. Step 6: Final answer
    x = 8,522.39

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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.