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Finding the Fourth Proportional to 5,980.80, 8,971.20 and 2,084.30

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Solution

The fourth proportional to 5,980.80, 8,971.20 and 2,084.30 is: 3,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.80 : 8,971.20 = 2,084.30 : x
  2. Step 2: Convert to fraction form
    5,980.80/8,971.20 = 2,084.30/x
  3. Step 3: Cross multiply
    5,980.80x = 8,971.20 × 2,084.30
  4. Step 4: Simplify right side
    5,980.80x = 18,698,627.30
  5. Step 5: Solve for x
    x = 18,698,627.30/5,980.80
  6. Step 6: Final answer
    x = 3,126.44

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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.