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Finding the Fourth Proportional to 2,873.70, 4,311 and 1,230.26

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Solution

The fourth proportional to 2,873.70, 4,311 and 1,230.26 is: 1,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.70 : 4,311 = 1,230.26 : x
  2. Step 2: Convert to fraction form
    2,873.70/4,311 = 1,230.26/x
  3. Step 3: Cross multiply
    2,873.70x = 4,311 × 1,230.26
  4. Step 4: Simplify right side
    2,873.70x = 5,303,650.86
  5. Step 5: Solve for x
    x = 5,303,650.86/2,873.70
  6. Step 6: Final answer
    x = 1,845.58

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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.