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Finding the Fourth Proportional to 13,980.69, 20,974.68 and 5,215.68

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Solution

The fourth proportional to 13,980.69, 20,974.68 and 5,215.68 is: 7,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.69 : 20,974.68 = 5,215.68 : x
  2. Step 2: Convert to fraction form
    13,980.69/20,974.68 = 5,215.68/x
  3. Step 3: Cross multiply
    13,980.69x = 20,974.68 × 5,215.68
  4. Step 4: Simplify right side
    13,980.69x = 109,397,218.98
  5. Step 5: Solve for x
    x = 109,397,218.98/13,980.69
  6. Step 6: Final answer
    x = 7,824.88

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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.