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Finding the Fourth Proportional to 5,816.73, 8,720.84 and 1,865.74

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Solution

The fourth proportional to 5,816.73, 8,720.84 and 1,865.74 is: 2,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.73 : 8,720.84 = 1,865.74 : x
  2. Step 2: Convert to fraction form
    5,816.73/8,720.84 = 1,865.74/x
  3. Step 3: Cross multiply
    5,816.73x = 8,720.84 × 1,865.74
  4. Step 4: Simplify right side
    5,816.73x = 16,270,819.24
  5. Step 5: Solve for x
    x = 16,270,819.24/5,816.73
  6. Step 6: Final answer
    x = 2,797.24

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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.