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Finding the Fourth Proportional to 7,200.98, 10,782.78 and 6,167.62

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Solution

The fourth proportional to 7,200.98, 10,782.78 and 6,167.62 is: 9,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.98 : 10,782.78 = 6,167.62 : x
  2. Step 2: Convert to fraction form
    7,200.98/10,782.78 = 6,167.62/x
  3. Step 3: Cross multiply
    7,200.98x = 10,782.78 × 6,167.62
  4. Step 4: Simplify right side
    7,200.98x = 66,504,089.58
  5. Step 5: Solve for x
    x = 66,504,089.58/7,200.98
  6. Step 6: Final answer
    x = 9,235.42

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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.