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Finding the Fourth Proportional to 13,674.84, 20,517 and 8,443.68

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Solution

The fourth proportional to 13,674.84, 20,517 and 8,443.68 is: 12,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.84 : 20,517 = 8,443.68 : x
  2. Step 2: Convert to fraction form
    13,674.84/20,517 = 8,443.68/x
  3. Step 3: Cross multiply
    13,674.84x = 20,517 × 8,443.68
  4. Step 4: Simplify right side
    13,674.84x = 173,238,982.56
  5. Step 5: Solve for x
    x = 173,238,982.56/13,674.84
  6. Step 6: Final answer
    x = 12,668.45

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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.