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Finding the Fourth Proportional to 2,706.66, 4,061.20 and 1,147.81

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Solution

The fourth proportional to 2,706.66, 4,061.20 and 1,147.81 is: 1,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.66 : 4,061.20 = 1,147.81 : x
  2. Step 2: Convert to fraction form
    2,706.66/4,061.20 = 1,147.81/x
  3. Step 3: Cross multiply
    2,706.66x = 4,061.20 × 1,147.81
  4. Step 4: Simplify right side
    2,706.66x = 4,661,485.97
  5. Step 5: Solve for x
    x = 4,661,485.97/2,706.66
  6. Step 6: Final answer
    x = 1,722.23

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Why These Related Problems?

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