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Finding the Fourth Proportional to 13,821, 20,738.82 and 6,030.42

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Solution

The fourth proportional to 13,821, 20,738.82 and 6,030.42 is: 9,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821 : 20,738.82 = 6,030.42 : x
  2. Step 2: Convert to fraction form
    13,821/20,738.82 = 6,030.42/x
  3. Step 3: Cross multiply
    13,821x = 20,738.82 × 6,030.42
  4. Step 4: Simplify right side
    13,821x = 125,063,794.90
  5. Step 5: Solve for x
    x = 125,063,794.90/13,821
  6. Step 6: Final answer
    x = 9,048.82

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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.