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Finding the Fourth Proportional to 5,816.80, 8,723.40 and 1,920.28

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Solution

The fourth proportional to 5,816.80, 8,723.40 and 1,920.28 is: 2,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.80 : 8,723.40 = 1,920.28 : x
  2. Step 2: Convert to fraction form
    5,816.80/8,723.40 = 1,920.28/x
  3. Step 3: Cross multiply
    5,816.80x = 8,723.40 × 1,920.28
  4. Step 4: Simplify right side
    5,816.80x = 16,751,370.55
  5. Step 5: Solve for x
    x = 16,751,370.55/5,816.80
  6. Step 6: Final answer
    x = 2,879.83

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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.