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Finding the Fourth Proportional to 2,769.96, 3,828 and 2,271.80

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Solution

The fourth proportional to 2,769.96, 3,828 and 2,271.80 is: 3,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.96 : 3,828 = 2,271.80 : x
  2. Step 2: Convert to fraction form
    2,769.96/3,828 = 2,271.80/x
  3. Step 3: Cross multiply
    2,769.96x = 3,828 × 2,271.80
  4. Step 4: Simplify right side
    2,769.96x = 8,696,450.40
  5. Step 5: Solve for x
    x = 8,696,450.40/2,769.96
  6. Step 6: Final answer
    x = 3,139.56

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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.