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Finding the Fourth Proportional to 3,709.92, 5,566.80 and 3,256.80

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Solution

The fourth proportional to 3,709.92, 5,566.80 and 3,256.80 is: 4,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.92 : 5,566.80 = 3,256.80 : x
  2. Step 2: Convert to fraction form
    3,709.92/5,566.80 = 3,256.80/x
  3. Step 3: Cross multiply
    3,709.92x = 5,566.80 × 3,256.80
  4. Step 4: Simplify right side
    3,709.92x = 18,129,954.24
  5. Step 5: Solve for x
    x = 18,129,954.24/3,709.92
  6. Step 6: Final answer
    x = 4,886.89

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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.