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Finding the Fourth Proportional to 15,940.78, 23,900.92 and 7,620.62

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Solution

The fourth proportional to 15,940.78, 23,900.92 and 7,620.62 is: 11,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,940.78 : 23,900.92 = 7,620.62 : x
  2. Step 2: Convert to fraction form
    15,940.78/23,900.92 = 7,620.62/x
  3. Step 3: Cross multiply
    15,940.78x = 23,900.92 × 7,620.62
  4. Step 4: Simplify right side
    15,940.78x = 182,139,733.28
  5. Step 5: Solve for x
    x = 182,139,733.28/15,940.78
  6. Step 6: Final answer
    x = 11,426.02

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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.