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Finding the Fourth Proportional to 7,768.86, 11,664.18 and 7,418.94

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Solution

The fourth proportional to 7,768.86, 11,664.18 and 7,418.94 is: 11,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.86 : 11,664.18 = 7,418.94 : x
  2. Step 2: Convert to fraction form
    7,768.86/11,664.18 = 7,418.94/x
  3. Step 3: Cross multiply
    7,768.86x = 11,664.18 × 7,418.94
  4. Step 4: Simplify right side
    7,768.86x = 86,535,851.57
  5. Step 5: Solve for x
    x = 86,535,851.57/7,768.86
  6. Step 6: Final answer
    x = 11,138.81

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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.