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Finding the Fourth Proportional to 5,676.74, 7,835.18 and 3,159.75

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Solution

The fourth proportional to 5,676.74, 7,835.18 and 3,159.75 is: 4,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.74 : 7,835.18 = 3,159.75 : x
  2. Step 2: Convert to fraction form
    5,676.74/7,835.18 = 3,159.75/x
  3. Step 3: Cross multiply
    5,676.74x = 7,835.18 × 3,159.75
  4. Step 4: Simplify right side
    5,676.74x = 24,757,194.21
  5. Step 5: Solve for x
    x = 24,757,194.21/5,676.74
  6. Step 6: Final answer
    x = 4,361.17

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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.