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Finding the Fourth Proportional to 7,180.80, 10,768 and 2,797.12

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Solution

The fourth proportional to 7,180.80, 10,768 and 2,797.12 is: 4,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.80 : 10,768 = 2,797.12 : x
  2. Step 2: Convert to fraction form
    7,180.80/10,768 = 2,797.12/x
  3. Step 3: Cross multiply
    7,180.80x = 10,768 × 2,797.12
  4. Step 4: Simplify right side
    7,180.80x = 30,119,388.16
  5. Step 5: Solve for x
    x = 30,119,388.16/7,180.80
  6. Step 6: Final answer
    x = 4,194.43

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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.