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Finding the Fourth Proportional to 6,825.54, 10,231.92 and 6,216.78

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Solution

The fourth proportional to 6,825.54, 10,231.92 and 6,216.78 is: 9,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.54 : 10,231.92 = 6,216.78 : x
  2. Step 2: Convert to fraction form
    6,825.54/10,231.92 = 6,216.78/x
  3. Step 3: Cross multiply
    6,825.54x = 10,231.92 × 6,216.78
  4. Step 4: Simplify right side
    6,825.54x = 63,609,595.62
  5. Step 5: Solve for x
    x = 63,609,595.62/6,825.54
  6. Step 6: Final answer
    x = 9,319.35

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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.