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Finding the Fourth Proportional to 1,391.83, 1,910.50 and 1,230.94

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Solution

The fourth proportional to 1,391.83, 1,910.50 and 1,230.94 is: 1,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.83 : 1,910.50 = 1,230.94 : x
  2. Step 2: Convert to fraction form
    1,391.83/1,910.50 = 1,230.94/x
  3. Step 3: Cross multiply
    1,391.83x = 1,910.50 × 1,230.94
  4. Step 4: Simplify right side
    1,391.83x = 2,351,710.87
  5. Step 5: Solve for x
    x = 2,351,710.87/1,391.83
  6. Step 6: Final answer
    x = 1,689.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.