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Finding the Fourth Proportional to 2,951.85, 4,427.81 and 871.89

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Solution

The fourth proportional to 2,951.85, 4,427.81 and 871.89 is: 1,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.85 : 4,427.81 = 871.89 : x
  2. Step 2: Convert to fraction form
    2,951.85/4,427.81 = 871.89/x
  3. Step 3: Cross multiply
    2,951.85x = 4,427.81 × 871.89
  4. Step 4: Simplify right side
    2,951.85x = 3,860,558.90
  5. Step 5: Solve for x
    x = 3,860,558.90/2,951.85
  6. Step 6: Final answer
    x = 1,307.84

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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.