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Finding the Fourth Proportional to 5,809.72, 8,709 and 3,723.88

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Solution

The fourth proportional to 5,809.72, 8,709 and 3,723.88 is: 5,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.72 : 8,709 = 3,723.88 : x
  2. Step 2: Convert to fraction form
    5,809.72/8,709 = 3,723.88/x
  3. Step 3: Cross multiply
    5,809.72x = 8,709 × 3,723.88
  4. Step 4: Simplify right side
    5,809.72x = 32,431,270.92
  5. Step 5: Solve for x
    x = 32,431,270.92/5,809.72
  6. Step 6: Final answer
    x = 5,582.24

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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.