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Finding the Fourth Proportional to 11,978.64, 17,965.54 and 3,211.52

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Solution

The fourth proportional to 11,978.64, 17,965.54 and 3,211.52 is: 4,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.64 : 17,965.54 = 3,211.52 : x
  2. Step 2: Convert to fraction form
    11,978.64/17,965.54 = 3,211.52/x
  3. Step 3: Cross multiply
    11,978.64x = 17,965.54 × 3,211.52
  4. Step 4: Simplify right side
    11,978.64x = 57,696,691.02
  5. Step 5: Solve for x
    x = 57,696,691.02/11,978.64
  6. Step 6: Final answer
    x = 4,816.63

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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.