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Finding the Fourth Proportional to 20,661.28, 30,986.40 and 8,971.84

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Solution

The fourth proportional to 20,661.28, 30,986.40 and 8,971.84 is: 13,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661.28 : 30,986.40 = 8,971.84 : x
  2. Step 2: Convert to fraction form
    20,661.28/30,986.40 = 8,971.84/x
  3. Step 3: Cross multiply
    20,661.28x = 30,986.40 × 8,971.84
  4. Step 4: Simplify right side
    20,661.28x = 278,005,022.98
  5. Step 5: Solve for x
    x = 278,005,022.98/20,661.28
  6. Step 6: Final answer
    x = 13,455.36

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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.