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Finding the Fourth Proportional to 2,735.60, 3,773.90 and 1,688.26

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Solution

The fourth proportional to 2,735.60, 3,773.90 and 1,688.26 is: 2,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.60 : 3,773.90 = 1,688.26 : x
  2. Step 2: Convert to fraction form
    2,735.60/3,773.90 = 1,688.26/x
  3. Step 3: Cross multiply
    2,735.60x = 3,773.90 × 1,688.26
  4. Step 4: Simplify right side
    2,735.60x = 6,371,324.41
  5. Step 5: Solve for x
    x = 6,371,324.41/2,735.60
  6. Step 6: Final answer
    x = 2,329.04

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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.