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Finding the Fourth Proportional to 20,986, 28,960.68 and 12,602.56

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Solution

The fourth proportional to 20,986, 28,960.68 and 12,602.56 is: 17,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986 : 28,960.68 = 12,602.56 : x
  2. Step 2: Convert to fraction form
    20,986/28,960.68 = 12,602.56/x
  3. Step 3: Cross multiply
    20,986x = 28,960.68 × 12,602.56
  4. Step 4: Simplify right side
    20,986x = 364,978,707.34
  5. Step 5: Solve for x
    x = 364,978,707.34/20,986
  6. Step 6: Final answer
    x = 17,391.53

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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.