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Finding the Fourth Proportional to 7,975.98, 11,991 and 6,426.86

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Solution

The fourth proportional to 7,975.98, 11,991 and 6,426.86 is: 9,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.98 : 11,991 = 6,426.86 : x
  2. Step 2: Convert to fraction form
    7,975.98/11,991 = 6,426.86/x
  3. Step 3: Cross multiply
    7,975.98x = 11,991 × 6,426.86
  4. Step 4: Simplify right side
    7,975.98x = 77,064,418.31
  5. Step 5: Solve for x
    x = 77,064,418.31/7,975.98
  6. Step 6: Final answer
    x = 9,662.06

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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.