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Finding the Fourth Proportional to 13,450.31, 20,178.71 and 4,216.31

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Solution

The fourth proportional to 13,450.31, 20,178.71 and 4,216.31 is: 6,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.31 : 20,178.71 = 4,216.31 : x
  2. Step 2: Convert to fraction form
    13,450.31/20,178.71 = 4,216.31/x
  3. Step 3: Cross multiply
    13,450.31x = 20,178.71 × 4,216.31
  4. Step 4: Simplify right side
    13,450.31x = 85,079,757.75
  5. Step 5: Solve for x
    x = 85,079,757.75/13,450.31
  6. Step 6: Final answer
    x = 6,325.49

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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.