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Finding the Fourth Proportional to 3,873.60, 5,810.31 and 951.90

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Solution

The fourth proportional to 3,873.60, 5,810.31 and 951.90 is: 1,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.60 : 5,810.31 = 951.90 : x
  2. Step 2: Convert to fraction form
    3,873.60/5,810.31 = 951.90/x
  3. Step 3: Cross multiply
    3,873.60x = 5,810.31 × 951.90
  4. Step 4: Simplify right side
    3,873.60x = 5,530,834.09
  5. Step 5: Solve for x
    x = 5,530,834.09/3,873.60
  6. Step 6: Final answer
    x = 1,427.83

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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.