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Finding the Fourth Proportional to 20,289.46, 30,438.99 and 6,438.46

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Solution

The fourth proportional to 20,289.46, 30,438.99 and 6,438.46 is: 9,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.46 : 30,438.99 = 6,438.46 : x
  2. Step 2: Convert to fraction form
    20,289.46/30,438.99 = 6,438.46/x
  3. Step 3: Cross multiply
    20,289.46x = 30,438.99 × 6,438.46
  4. Step 4: Simplify right side
    20,289.46x = 195,980,219.56
  5. Step 5: Solve for x
    x = 195,980,219.56/20,289.46
  6. Step 6: Final answer
    x = 9,659.21

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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.