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Finding the Fourth Proportional to 1,986.50, 2,979.74 and 670.54

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Solution

The fourth proportional to 1,986.50, 2,979.74 and 670.54 is: 1,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.50 : 2,979.74 = 670.54 : x
  2. Step 2: Convert to fraction form
    1,986.50/2,979.74 = 670.54/x
  3. Step 3: Cross multiply
    1,986.50x = 2,979.74 × 670.54
  4. Step 4: Simplify right side
    1,986.50x = 1,998,034.86
  5. Step 5: Solve for x
    x = 1,998,034.86/1,986.50
  6. Step 6: Final answer
    x = 1,005.81

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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.