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Finding the Fourth Proportional to 11,777.67, 17,666.51 and 3,985.88

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Solution

The fourth proportional to 11,777.67, 17,666.51 and 3,985.88 is: 5,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.67 : 17,666.51 = 3,985.88 : x
  2. Step 2: Convert to fraction form
    11,777.67/17,666.51 = 3,985.88/x
  3. Step 3: Cross multiply
    11,777.67x = 17,666.51 × 3,985.88
  4. Step 4: Simplify right side
    11,777.67x = 70,416,480.62
  5. Step 5: Solve for x
    x = 70,416,480.62/11,777.67
  6. Step 6: Final answer
    x = 5,978.81

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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.