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Finding the Fourth Proportional to 6,728.94, 9,272.07 and 6,638.22

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Solution

The fourth proportional to 6,728.94, 9,272.07 and 6,638.22 is: 9,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.94 : 9,272.07 = 6,638.22 : x
  2. Step 2: Convert to fraction form
    6,728.94/9,272.07 = 6,638.22/x
  3. Step 3: Cross multiply
    6,728.94x = 9,272.07 × 6,638.22
  4. Step 4: Simplify right side
    6,728.94x = 61,550,040.52
  5. Step 5: Solve for x
    x = 61,550,040.52/6,728.94
  6. Step 6: Final answer
    x = 9,147.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.