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Finding the Fourth Proportional to 1,251.99, 1,879.74 and 1,230.12

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Solution

The fourth proportional to 1,251.99, 1,879.74 and 1,230.12 is: 1,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.99 : 1,879.74 = 1,230.12 : x
  2. Step 2: Convert to fraction form
    1,251.99/1,879.74 = 1,230.12/x
  3. Step 3: Cross multiply
    1,251.99x = 1,879.74 × 1,230.12
  4. Step 4: Simplify right side
    1,251.99x = 2,312,305.77
  5. Step 5: Solve for x
    x = 2,312,305.77/1,251.99
  6. Step 6: Final answer
    x = 1,846.90

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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.