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Finding the Fourth Proportional to 8,509.73, 12,769.58 and 3,578.99

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Solution

The fourth proportional to 8,509.73, 12,769.58 and 3,578.99 is: 5,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.73 : 12,769.58 = 3,578.99 : x
  2. Step 2: Convert to fraction form
    8,509.73/12,769.58 = 3,578.99/x
  3. Step 3: Cross multiply
    8,509.73x = 12,769.58 × 3,578.99
  4. Step 4: Simplify right side
    8,509.73x = 45,702,144.22
  5. Step 5: Solve for x
    x = 45,702,144.22/8,509.73
  6. Step 6: Final answer
    x = 5,370.58

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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.