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Finding the Fourth Proportional to 5,676.90, 7,835.34 and 3,159.86

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Solution

The fourth proportional to 5,676.90, 7,835.34 and 3,159.86 is: 4,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.90 : 7,835.34 = 3,159.86 : x
  2. Step 2: Convert to fraction form
    5,676.90/7,835.34 = 3,159.86/x
  3. Step 3: Cross multiply
    5,676.90x = 7,835.34 × 3,159.86
  4. Step 4: Simplify right side
    5,676.90x = 24,758,577.45
  5. Step 5: Solve for x
    x = 24,758,577.45/5,676.90
  6. Step 6: Final answer
    x = 4,361.28

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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.