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Finding the Fourth Proportional to 5,778.42, 8,669.64 and 1,882.80

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Solution

The fourth proportional to 5,778.42, 8,669.64 and 1,882.80 is: 2,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.42 : 8,669.64 = 1,882.80 : x
  2. Step 2: Convert to fraction form
    5,778.42/8,669.64 = 1,882.80/x
  3. Step 3: Cross multiply
    5,778.42x = 8,669.64 × 1,882.80
  4. Step 4: Simplify right side
    5,778.42x = 16,323,198.19
  5. Step 5: Solve for x
    x = 16,323,198.19/5,778.42
  6. Step 6: Final answer
    x = 2,824.85

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1.5x scale

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.