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Finding the Fourth Proportional to 6,728.90, 9,282.74 and 4,338.27

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Solution

The fourth proportional to 6,728.90, 9,282.74 and 4,338.27 is: 5,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.90 : 9,282.74 = 4,338.27 : x
  2. Step 2: Convert to fraction form
    6,728.90/9,282.74 = 4,338.27/x
  3. Step 3: Cross multiply
    6,728.90x = 9,282.74 × 4,338.27
  4. Step 4: Simplify right side
    6,728.90x = 40,271,010.77
  5. Step 5: Solve for x
    x = 40,271,010.77/6,728.90
  6. Step 6: Final answer
    x = 5,984.79

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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.