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Finding the Fourth Proportional to 4,769.69, 7,121.98 and 4,209.67

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Solution

The fourth proportional to 4,769.69, 7,121.98 and 4,209.67 is: 6,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.69 : 7,121.98 = 4,209.67 : x
  2. Step 2: Convert to fraction form
    4,769.69/7,121.98 = 4,209.67/x
  3. Step 3: Cross multiply
    4,769.69x = 7,121.98 × 4,209.67
  4. Step 4: Simplify right side
    4,769.69x = 29,981,176.03
  5. Step 5: Solve for x
    x = 29,981,176.03/4,769.69
  6. Step 6: Final answer
    x = 6,285.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.