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Finding the Fourth Proportional to 1,986.72, 2,979.03 and 998.46

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Solution

The fourth proportional to 1,986.72, 2,979.03 and 998.46 is: 1,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.72 : 2,979.03 = 998.46 : x
  2. Step 2: Convert to fraction form
    1,986.72/2,979.03 = 998.46/x
  3. Step 3: Cross multiply
    1,986.72x = 2,979.03 × 998.46
  4. Step 4: Simplify right side
    1,986.72x = 2,974,442.29
  5. Step 5: Solve for x
    x = 2,974,442.29/1,986.72
  6. Step 6: Final answer
    x = 1,497.16

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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.