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Finding the Fourth Proportional to 13,989, 20,986.38 and 5,781

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Solution

The fourth proportional to 13,989, 20,986.38 and 5,781 is: 8,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989 : 20,986.38 = 5,781 : x
  2. Step 2: Convert to fraction form
    13,989/20,986.38 = 5,781/x
  3. Step 3: Cross multiply
    13,989x = 20,986.38 × 5,781
  4. Step 4: Simplify right side
    13,989x = 121,322,262.78
  5. Step 5: Solve for x
    x = 121,322,262.78/13,989
  6. Step 6: Final answer
    x = 8,672.69

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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.