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Finding the Fourth Proportional to 1,986.64, 2,976.60 and 1,696.72

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Solution

The fourth proportional to 1,986.64, 2,976.60 and 1,696.72 is: 2,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.64 : 2,976.60 = 1,696.72 : x
  2. Step 2: Convert to fraction form
    1,986.64/2,976.60 = 1,696.72/x
  3. Step 3: Cross multiply
    1,986.64x = 2,976.60 × 1,696.72
  4. Step 4: Simplify right side
    1,986.64x = 5,050,456.75
  5. Step 5: Solve for x
    x = 5,050,456.75/1,986.64
  6. Step 6: Final answer
    x = 2,542.21

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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.