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Finding the Fourth Proportional to 5,751.45, 8,629.20 and 2,827.80

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Solution

The fourth proportional to 5,751.45, 8,629.20 and 2,827.80 is: 4,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.45 : 8,629.20 = 2,827.80 : x
  2. Step 2: Convert to fraction form
    5,751.45/8,629.20 = 2,827.80/x
  3. Step 3: Cross multiply
    5,751.45x = 8,629.20 × 2,827.80
  4. Step 4: Simplify right side
    5,751.45x = 24,401,651.76
  5. Step 5: Solve for x
    x = 24,401,651.76/5,751.45
  6. Step 6: Final answer
    x = 4,242.70

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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.