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Finding the Fourth Proportional to 11,777, 17,668.54 and 4,381.70

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Solution

The fourth proportional to 11,777, 17,668.54 and 4,381.70 is: 6,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777 : 17,668.54 = 4,381.70 : x
  2. Step 2: Convert to fraction form
    11,777/17,668.54 = 4,381.70/x
  3. Step 3: Cross multiply
    11,777x = 17,668.54 × 4,381.70
  4. Step 4: Simplify right side
    11,777x = 77,418,241.72
  5. Step 5: Solve for x
    x = 77,418,241.72/11,777
  6. Step 6: Final answer
    x = 6,573.68

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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.