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Finding the Fourth Proportional to 7,954.43, 11,927.79 and 2,406.74

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Solution

The fourth proportional to 7,954.43, 11,927.79 and 2,406.74 is: 3,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.43 : 11,927.79 = 2,406.74 : x
  2. Step 2: Convert to fraction form
    7,954.43/11,927.79 = 2,406.74/x
  3. Step 3: Cross multiply
    7,954.43x = 11,927.79 × 2,406.74
  4. Step 4: Simplify right side
    7,954.43x = 28,707,029.67
  5. Step 5: Solve for x
    x = 28,707,029.67/7,954.43
  6. Step 6: Final answer
    x = 3,608.94

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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.