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Finding the Fourth Proportional to 20,986, 28,958.08 and 14,194.84

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Solution

The fourth proportional to 20,986, 28,958.08 and 14,194.84 is: 19,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986 : 28,958.08 = 14,194.84 : x
  2. Step 2: Convert to fraction form
    20,986/28,958.08 = 14,194.84/x
  3. Step 3: Cross multiply
    20,986x = 28,958.08 × 14,194.84
  4. Step 4: Simplify right side
    20,986x = 411,055,312.31
  5. Step 5: Solve for x
    x = 411,055,312.31/20,986
  6. Step 6: Final answer
    x = 19,587.12

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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.