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Finding the Fourth Proportional to 5,771.33, 8,657.83 and 1,821.25

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Solution

The fourth proportional to 5,771.33, 8,657.83 and 1,821.25 is: 2,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.33 : 8,657.83 = 1,821.25 : x
  2. Step 2: Convert to fraction form
    5,771.33/8,657.83 = 1,821.25/x
  3. Step 3: Cross multiply
    5,771.33x = 8,657.83 × 1,821.25
  4. Step 4: Simplify right side
    5,771.33x = 15,768,029.60
  5. Step 5: Solve for x
    x = 15,768,029.60/5,771.33
  6. Step 6: Final answer
    x = 2,732.13

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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.