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Finding the Fourth Proportional to 2,096.86, 3,145.26 and 515.60

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Solution

The fourth proportional to 2,096.86, 3,145.26 and 515.60 is: 773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.86 : 3,145.26 = 515.60 : x
  2. Step 2: Convert to fraction form
    2,096.86/3,145.26 = 515.60/x
  3. Step 3: Cross multiply
    2,096.86x = 3,145.26 × 515.60
  4. Step 4: Simplify right side
    2,096.86x = 1,621,696.06
  5. Step 5: Solve for x
    x = 1,621,696.06/2,096.86
  6. Step 6: Final answer
    x = 773.39

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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.