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Finding the Fourth Proportional to 5,778.81, 8,662.14 and 2,812.86

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Solution

The fourth proportional to 5,778.81, 8,662.14 and 2,812.86 is: 4,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.81 : 8,662.14 = 2,812.86 : x
  2. Step 2: Convert to fraction form
    5,778.81/8,662.14 = 2,812.86/x
  3. Step 3: Cross multiply
    5,778.81x = 8,662.14 × 2,812.86
  4. Step 4: Simplify right side
    5,778.81x = 24,365,387.12
  5. Step 5: Solve for x
    x = 24,365,387.12/5,778.81
  6. Step 6: Final answer
    x = 4,216.33

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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.