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Finding the Fourth Proportional to 6,131.96, 8,461.68 and 3,479.42

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Solution

The fourth proportional to 6,131.96, 8,461.68 and 3,479.42 is: 4,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.96 : 8,461.68 = 3,479.42 : x
  2. Step 2: Convert to fraction form
    6,131.96/8,461.68 = 3,479.42/x
  3. Step 3: Cross multiply
    6,131.96x = 8,461.68 × 3,479.42
  4. Step 4: Simplify right side
    6,131.96x = 29,441,738.63
  5. Step 5: Solve for x
    x = 29,441,738.63/6,131.96
  6. Step 6: Final answer
    x = 4,801.36

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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.