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Finding the Fourth Proportional to 11,978.26, 17,970.85 and 4,956.97

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Solution

The fourth proportional to 11,978.26, 17,970.85 and 4,956.97 is: 7,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.26 : 17,970.85 = 4,956.97 : x
  2. Step 2: Convert to fraction form
    11,978.26/17,970.85 = 4,956.97/x
  3. Step 3: Cross multiply
    11,978.26x = 17,970.85 × 4,956.97
  4. Step 4: Simplify right side
    11,978.26x = 89,081,050.30
  5. Step 5: Solve for x
    x = 89,081,050.30/11,978.26
  6. Step 6: Final answer
    x = 7,436.90

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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.