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Finding the Fourth Proportional to 2,771.81, 4,154.03 and 1,209.45

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Solution

The fourth proportional to 2,771.81, 4,154.03 and 1,209.45 is: 1,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.81 : 4,154.03 = 1,209.45 : x
  2. Step 2: Convert to fraction form
    2,771.81/4,154.03 = 1,209.45/x
  3. Step 3: Cross multiply
    2,771.81x = 4,154.03 × 1,209.45
  4. Step 4: Simplify right side
    2,771.81x = 5,024,091.58
  5. Step 5: Solve for x
    x = 5,024,091.58/2,771.81
  6. Step 6: Final answer
    x = 1,812.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.