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Finding the Fourth Proportional to 11,991.66, 17,989.65 and 5,420.94

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Solution

The fourth proportional to 11,991.66, 17,989.65 and 5,420.94 is: 8,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.66 : 17,989.65 = 5,420.94 : x
  2. Step 2: Convert to fraction form
    11,991.66/17,989.65 = 5,420.94/x
  3. Step 3: Cross multiply
    11,991.66x = 17,989.65 × 5,420.94
  4. Step 4: Simplify right side
    11,991.66x = 97,520,813.27
  5. Step 5: Solve for x
    x = 97,520,813.27/11,991.66
  6. Step 6: Final answer
    x = 8,132.39

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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.