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Finding the Fourth Proportional to 13,674.80, 20,520.84 and 7,842.80

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Solution

The fourth proportional to 13,674.80, 20,520.84 and 7,842.80 is: 11,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.80 : 20,520.84 = 7,842.80 : x
  2. Step 2: Convert to fraction form
    13,674.80/20,520.84 = 7,842.80/x
  3. Step 3: Cross multiply
    13,674.80x = 20,520.84 × 7,842.80
  4. Step 4: Simplify right side
    13,674.80x = 160,940,741.35
  5. Step 5: Solve for x
    x = 160,940,741.35/13,674.80
  6. Step 6: Final answer
    x = 11,769.15

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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.