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Finding the Fourth Proportional to 20,978.12, 28,950 and 11,546.72

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Solution

The fourth proportional to 20,978.12, 28,950 and 11,546.72 is: 15,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.12 : 28,950 = 11,546.72 : x
  2. Step 2: Convert to fraction form
    20,978.12/28,950 = 11,546.72/x
  3. Step 3: Cross multiply
    20,978.12x = 28,950 × 11,546.72
  4. Step 4: Simplify right side
    20,978.12x = 334,277,544
  5. Step 5: Solve for x
    x = 334,277,544/20,978.12
  6. Step 6: Final answer
    x = 15,934.58

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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.