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Finding the Fourth Proportional to 1,986.33, 2,979.51 and 688.71

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Solution

The fourth proportional to 1,986.33, 2,979.51 and 688.71 is: 1,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.33 : 2,979.51 = 688.71 : x
  2. Step 2: Convert to fraction form
    1,986.33/2,979.51 = 688.71/x
  3. Step 3: Cross multiply
    1,986.33x = 2,979.51 × 688.71
  4. Step 4: Simplify right side
    1,986.33x = 2,052,018.33
  5. Step 5: Solve for x
    x = 2,052,018.33/1,986.33
  6. Step 6: Final answer
    x = 1,033.07

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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.