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Finding the Fourth Proportional to 2,873.81, 4,310.69 and 1,489.86

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Solution

The fourth proportional to 2,873.81, 4,310.69 and 1,489.86 is: 2,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.81 : 4,310.69 = 1,489.86 : x
  2. Step 2: Convert to fraction form
    2,873.81/4,310.69 = 1,489.86/x
  3. Step 3: Cross multiply
    2,873.81x = 4,310.69 × 1,489.86
  4. Step 4: Simplify right side
    2,873.81x = 6,422,317.15
  5. Step 5: Solve for x
    x = 6,422,317.15/2,873.81
  6. Step 6: Final answer
    x = 2,234.77

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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.