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Finding the Fourth Proportional to 11,978.28, 17,967.42 and 3,214.08

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Solution

The fourth proportional to 11,978.28, 17,967.42 and 3,214.08 is: 4,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.28 : 17,967.42 = 3,214.08 : x
  2. Step 2: Convert to fraction form
    11,978.28/17,967.42 = 3,214.08/x
  3. Step 3: Cross multiply
    11,978.28x = 17,967.42 × 3,214.08
  4. Step 4: Simplify right side
    11,978.28x = 57,748,725.27
  5. Step 5: Solve for x
    x = 57,748,725.27/11,978.28
  6. Step 6: Final answer
    x = 4,821.12

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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.