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Finding the Fourth Proportional to 13,623.20, 20,425.20 and 6,231.20

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Solution

The fourth proportional to 13,623.20, 20,425.20 and 6,231.20 is: 9,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.20 : 20,425.20 = 6,231.20 : x
  2. Step 2: Convert to fraction form
    13,623.20/20,425.20 = 6,231.20/x
  3. Step 3: Cross multiply
    13,623.20x = 20,425.20 × 6,231.20
  4. Step 4: Simplify right side
    13,623.20x = 127,273,506.24
  5. Step 5: Solve for x
    x = 127,273,506.24/13,623.20
  6. Step 6: Final answer
    x = 9,342.41

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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.