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Finding the Fourth Proportional to 12,911.50, 17,820.91 and 7,879.88

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Solution

The fourth proportional to 12,911.50, 17,820.91 and 7,879.88 is: 10,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.50 : 17,820.91 = 7,879.88 : x
  2. Step 2: Convert to fraction form
    12,911.50/17,820.91 = 7,879.88/x
  3. Step 3: Cross multiply
    12,911.50x = 17,820.91 × 7,879.88
  4. Step 4: Simplify right side
    12,911.50x = 140,426,657.14
  5. Step 5: Solve for x
    x = 140,426,657.14/12,911.50
  6. Step 6: Final answer
    x = 10,876.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.