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Finding the Fourth Proportional to 5,786.80, 8,620.52 and 5,428.24

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Solution

The fourth proportional to 5,786.80, 8,620.52 and 5,428.24 is: 8,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.80 : 8,620.52 = 5,428.24 : x
  2. Step 2: Convert to fraction form
    5,786.80/8,620.52 = 5,428.24/x
  3. Step 3: Cross multiply
    5,786.80x = 8,620.52 × 5,428.24
  4. Step 4: Simplify right side
    5,786.80x = 46,794,251.48
  5. Step 5: Solve for x
    x = 46,794,251.48/5,786.80
  6. Step 6: Final answer
    x = 8,086.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.