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Finding the Fourth Proportional to 20,978.28, 28,679.85 and 20,978.28

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Solution

The fourth proportional to 20,978.28, 28,679.85 and 20,978.28 is: 28,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.28 : 28,679.85 = 20,978.28 : x
  2. Step 2: Convert to fraction form
    20,978.28/28,679.85 = 20,978.28/x
  3. Step 3: Cross multiply
    20,978.28x = 28,679.85 × 20,978.28
  4. Step 4: Simplify right side
    20,978.28x = 601,653,923.66
  5. Step 5: Solve for x
    x = 601,653,923.66/20,978.28
  6. Step 6: Final answer
    x = 28,679.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.