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Finding the Fourth Proportional to 5,813.76, 8,722.80 and 3,213.12

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Solution

The fourth proportional to 5,813.76, 8,722.80 and 3,213.12 is: 4,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.76 : 8,722.80 = 3,213.12 : x
  2. Step 2: Convert to fraction form
    5,813.76/8,722.80 = 3,213.12/x
  3. Step 3: Cross multiply
    5,813.76x = 8,722.80 × 3,213.12
  4. Step 4: Simplify right side
    5,813.76x = 28,027,403.14
  5. Step 5: Solve for x
    x = 28,027,403.14/5,813.76
  6. Step 6: Final answer
    x = 4,820.87

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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.