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Finding the Fourth Proportional to 5,784.26, 8,674.80 and 2,085.80

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Solution

The fourth proportional to 5,784.26, 8,674.80 and 2,085.80 is: 3,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.26 : 8,674.80 = 2,085.80 : x
  2. Step 2: Convert to fraction form
    5,784.26/8,674.80 = 2,085.80/x
  3. Step 3: Cross multiply
    5,784.26x = 8,674.80 × 2,085.80
  4. Step 4: Simplify right side
    5,784.26x = 18,093,897.84
  5. Step 5: Solve for x
    x = 18,093,897.84/5,784.26
  6. Step 6: Final answer
    x = 3,128.13

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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.