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Finding the Fourth Proportional to 3,430.89, 5,131.64 and 3,181.89

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Solution

The fourth proportional to 3,430.89, 5,131.64 and 3,181.89 is: 4,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.89 : 5,131.64 = 3,181.89 : x
  2. Step 2: Convert to fraction form
    3,430.89/5,131.64 = 3,181.89/x
  3. Step 3: Cross multiply
    3,430.89x = 5,131.64 × 3,181.89
  4. Step 4: Simplify right side
    3,430.89x = 16,328,298.09
  5. Step 5: Solve for x
    x = 16,328,298.09/3,430.89
  6. Step 6: Final answer
    x = 4,759.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.