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Finding the Fourth Proportional to 5,986.64, 8,978.04 and 1,983.29

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Solution

The fourth proportional to 5,986.64, 8,978.04 and 1,983.29 is: 2,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.64 : 8,978.04 = 1,983.29 : x
  2. Step 2: Convert to fraction form
    5,986.64/8,978.04 = 1,983.29/x
  3. Step 3: Cross multiply
    5,986.64x = 8,978.04 × 1,983.29
  4. Step 4: Simplify right side
    5,986.64x = 17,806,012.06
  5. Step 5: Solve for x
    x = 17,806,012.06/5,986.64
  6. Step 6: Final answer
    x = 2,974.29

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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.