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Finding the Fourth Proportional to 4,728.69, 6,524.79 and 2,738.90

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Solution

The fourth proportional to 4,728.69, 6,524.79 and 2,738.90 is: 3,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.69 : 6,524.79 = 2,738.90 : x
  2. Step 2: Convert to fraction form
    4,728.69/6,524.79 = 2,738.90/x
  3. Step 3: Cross multiply
    4,728.69x = 6,524.79 × 2,738.90
  4. Step 4: Simplify right side
    4,728.69x = 17,870,747.33
  5. Step 5: Solve for x
    x = 17,870,747.33/4,728.69
  6. Step 6: Final answer
    x = 3,779.22

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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.