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Finding the Fourth Proportional to 13,744.80, 20,612.40 and 7,168.80

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Solution

The fourth proportional to 13,744.80, 20,612.40 and 7,168.80 is: 10,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.80 : 20,612.40 = 7,168.80 : x
  2. Step 2: Convert to fraction form
    13,744.80/20,612.40 = 7,168.80/x
  3. Step 3: Cross multiply
    13,744.80x = 20,612.40 × 7,168.80
  4. Step 4: Simplify right side
    13,744.80x = 147,766,173.12
  5. Step 5: Solve for x
    x = 147,766,173.12/13,744.80
  6. Step 6: Final answer
    x = 10,750.70

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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.