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Finding the Fourth Proportional to 2,889.46, 3,976.86 and 2,514.70

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Solution

The fourth proportional to 2,889.46, 3,976.86 and 2,514.70 is: 3,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.46 : 3,976.86 = 2,514.70 : x
  2. Step 2: Convert to fraction form
    2,889.46/3,976.86 = 2,514.70/x
  3. Step 3: Cross multiply
    2,889.46x = 3,976.86 × 2,514.70
  4. Step 4: Simplify right side
    2,889.46x = 10,000,609.84
  5. Step 5: Solve for x
    x = 10,000,609.84/2,889.46
  6. Step 6: Final answer
    x = 3,461.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.