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Finding the Fourth Proportional to 5,986.78, 8,980.20 and 1,882.78

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Solution

The fourth proportional to 5,986.78, 8,980.20 and 1,882.78 is: 2,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.78 : 8,980.20 = 1,882.78 : x
  2. Step 2: Convert to fraction form
    5,986.78/8,980.20 = 1,882.78/x
  3. Step 3: Cross multiply
    5,986.78x = 8,980.20 × 1,882.78
  4. Step 4: Simplify right side
    5,986.78x = 16,907,740.96
  5. Step 5: Solve for x
    x = 16,907,740.96/5,986.78
  6. Step 6: Final answer
    x = 2,824.18

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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.