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Finding the Fourth Proportional to 2,951.87, 4,427.81 and 1,102.96

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Solution

The fourth proportional to 2,951.87, 4,427.81 and 1,102.96 is: 1,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.87 : 4,427.81 = 1,102.96 : x
  2. Step 2: Convert to fraction form
    2,951.87/4,427.81 = 1,102.96/x
  3. Step 3: Cross multiply
    2,951.87x = 4,427.81 × 1,102.96
  4. Step 4: Simplify right side
    2,951.87x = 4,883,697.32
  5. Step 5: Solve for x
    x = 4,883,697.32/2,951.87
  6. Step 6: Final answer
    x = 1,654.44

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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.