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Finding the Fourth Proportional to 11,778.38, 16,253.21 and 6,741.45

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Solution

The fourth proportional to 11,778.38, 16,253.21 and 6,741.45 is: 9,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.38 : 16,253.21 = 6,741.45 : x
  2. Step 2: Convert to fraction form
    11,778.38/16,253.21 = 6,741.45/x
  3. Step 3: Cross multiply
    11,778.38x = 16,253.21 × 6,741.45
  4. Step 4: Simplify right side
    11,778.38x = 109,570,168.85
  5. Step 5: Solve for x
    x = 109,570,168.85/11,778.38
  6. Step 6: Final answer
    x = 9,302.66

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Why These Related Problems?

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