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Finding the Fourth Proportional to 2,116.60, 3,171.90 and 1,678.60

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Solution

The fourth proportional to 2,116.60, 3,171.90 and 1,678.60 is: 2,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.60 : 3,171.90 = 1,678.60 : x
  2. Step 2: Convert to fraction form
    2,116.60/3,171.90 = 1,678.60/x
  3. Step 3: Cross multiply
    2,116.60x = 3,171.90 × 1,678.60
  4. Step 4: Simplify right side
    2,116.60x = 5,324,351.34
  5. Step 5: Solve for x
    x = 5,324,351.34/2,116.60
  6. Step 6: Final answer
    x = 2,515.52

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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.