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Finding the Fourth Proportional to 13,882.89, 20,823.18 and 7,219.44

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Solution

The fourth proportional to 13,882.89, 20,823.18 and 7,219.44 is: 10,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.89 : 20,823.18 = 7,219.44 : x
  2. Step 2: Convert to fraction form
    13,882.89/20,823.18 = 7,219.44/x
  3. Step 3: Cross multiply
    13,882.89x = 20,823.18 × 7,219.44
  4. Step 4: Simplify right side
    13,882.89x = 150,331,698.62
  5. Step 5: Solve for x
    x = 150,331,698.62/13,882.89
  6. Step 6: Final answer
    x = 10,828.56

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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.