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Finding the Fourth Proportional to 2,155.86, 3,230.70 and 1,229.50

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Solution

The fourth proportional to 2,155.86, 3,230.70 and 1,229.50 is: 1,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.86 : 3,230.70 = 1,229.50 : x
  2. Step 2: Convert to fraction form
    2,155.86/3,230.70 = 1,229.50/x
  3. Step 3: Cross multiply
    2,155.86x = 3,230.70 × 1,229.50
  4. Step 4: Simplify right side
    2,155.86x = 3,972,145.65
  5. Step 5: Solve for x
    x = 3,972,145.65/2,155.86
  6. Step 6: Final answer
    x = 1,842.49

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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.