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Finding the Fourth Proportional to 11,425.92, 17,136.96 and 3,216

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Solution

The fourth proportional to 11,425.92, 17,136.96 and 3,216 is: 4,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.92 : 17,136.96 = 3,216 : x
  2. Step 2: Convert to fraction form
    11,425.92/17,136.96 = 3,216/x
  3. Step 3: Cross multiply
    11,425.92x = 17,136.96 × 3,216
  4. Step 4: Simplify right side
    11,425.92x = 55,112,463.36
  5. Step 5: Solve for x
    x = 55,112,463.36/11,425.92
  6. Step 6: Final answer
    x = 4,823.46

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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.