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Finding the Fourth Proportional to 3,181.10, 4,771.79 and 989.87

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Solution

The fourth proportional to 3,181.10, 4,771.79 and 989.87 is: 1,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.10 : 4,771.79 = 989.87 : x
  2. Step 2: Convert to fraction form
    3,181.10/4,771.79 = 989.87/x
  3. Step 3: Cross multiply
    3,181.10x = 4,771.79 × 989.87
  4. Step 4: Simplify right side
    3,181.10x = 4,723,446.82
  5. Step 5: Solve for x
    x = 4,723,446.82/3,181.10
  6. Step 6: Final answer
    x = 1,484.85

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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.