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Finding the Fourth Proportional to 7,271.80, 10,907.70 and 6,782.20

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Solution

The fourth proportional to 7,271.80, 10,907.70 and 6,782.20 is: 10,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.80 : 10,907.70 = 6,782.20 : x
  2. Step 2: Convert to fraction form
    7,271.80/10,907.70 = 6,782.20/x
  3. Step 3: Cross multiply
    7,271.80x = 10,907.70 × 6,782.20
  4. Step 4: Simplify right side
    7,271.80x = 73,978,202.94
  5. Step 5: Solve for x
    x = 73,978,202.94/7,271.80
  6. Step 6: Final answer
    x = 10,173.30

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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.