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Finding the Fourth Proportional to 11,400, 17,100.64 and 3,192.64

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Solution

The fourth proportional to 11,400, 17,100.64 and 3,192.64 is: 4,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400 : 17,100.64 = 3,192.64 : x
  2. Step 2: Convert to fraction form
    11,400/17,100.64 = 3,192.64/x
  3. Step 3: Cross multiply
    11,400x = 17,100.64 × 3,192.64
  4. Step 4: Simplify right side
    11,400x = 54,596,187.29
  5. Step 5: Solve for x
    x = 54,596,187.29/11,400
  6. Step 6: Final answer
    x = 4,789.14

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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.