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Finding the Fourth Proportional to 5,780.53, 8,668.53 and 2,081.80

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Solution

The fourth proportional to 5,780.53, 8,668.53 and 2,081.80 is: 3,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.53 : 8,668.53 = 2,081.80 : x
  2. Step 2: Convert to fraction form
    5,780.53/8,668.53 = 2,081.80/x
  3. Step 3: Cross multiply
    5,780.53x = 8,668.53 × 2,081.80
  4. Step 4: Simplify right side
    5,780.53x = 18,046,145.75
  5. Step 5: Solve for x
    x = 18,046,145.75/5,780.53
  6. Step 6: Final answer
    x = 3,121.88

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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.