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Finding the Fourth Proportional to 7,976.72, 11,992.12 and 6,427.60

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Solution

The fourth proportional to 7,976.72, 11,992.12 and 6,427.60 is: 9,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.72 : 11,992.12 = 6,427.60 : x
  2. Step 2: Convert to fraction form
    7,976.72/11,992.12 = 6,427.60/x
  3. Step 3: Cross multiply
    7,976.72x = 11,992.12 × 6,427.60
  4. Step 4: Simplify right side
    7,976.72x = 77,080,504.46
  5. Step 5: Solve for x
    x = 77,080,504.46/7,976.72
  6. Step 6: Final answer
    x = 9,663.18

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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.