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Finding the Fourth Proportional to 2,761.89, 3,809.59 and 1,765.59

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Solution

The fourth proportional to 2,761.89, 3,809.59 and 1,765.59 is: 2,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.89 : 3,809.59 = 1,765.59 : x
  2. Step 2: Convert to fraction form
    2,761.89/3,809.59 = 1,765.59/x
  3. Step 3: Cross multiply
    2,761.89x = 3,809.59 × 1,765.59
  4. Step 4: Simplify right side
    2,761.89x = 6,726,174.01
  5. Step 5: Solve for x
    x = 6,726,174.01/2,761.89
  6. Step 6: Final answer
    x = 2,435.35

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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.