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Finding the Fourth Proportional to 2,668.84, 3,683.13 and 1,724.78

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Solution

The fourth proportional to 2,668.84, 3,683.13 and 1,724.78 is: 2,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.84 : 3,683.13 = 1,724.78 : x
  2. Step 2: Convert to fraction form
    2,668.84/3,683.13 = 1,724.78/x
  3. Step 3: Cross multiply
    2,668.84x = 3,683.13 × 1,724.78
  4. Step 4: Simplify right side
    2,668.84x = 6,352,588.96
  5. Step 5: Solve for x
    x = 6,352,588.96/2,668.84
  6. Step 6: Final answer
    x = 2,380.28

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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.