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Finding the Fourth Proportional to 20,986, 28,960.72 and 11,425.84

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Solution

The fourth proportional to 20,986, 28,960.72 and 11,425.84 is: 15,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986 : 28,960.72 = 11,425.84 : x
  2. Step 2: Convert to fraction form
    20,986/28,960.72 = 11,425.84/x
  3. Step 3: Cross multiply
    20,986x = 28,960.72 × 11,425.84
  4. Step 4: Simplify right side
    20,986x = 330,900,553.00
  5. Step 5: Solve for x
    x = 330,900,553.00/20,986
  6. Step 6: Final answer
    x = 15,767.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.