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Finding the Fourth Proportional to 20,978.42, 28,950 and 11,546.78

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Solution

The fourth proportional to 20,978.42, 28,950 and 11,546.78 is: 15,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.42 : 28,950 = 11,546.78 : x
  2. Step 2: Convert to fraction form
    20,978.42/28,950 = 11,546.78/x
  3. Step 3: Cross multiply
    20,978.42x = 28,950 × 11,546.78
  4. Step 4: Simplify right side
    20,978.42x = 334,279,281
  5. Step 5: Solve for x
    x = 334,279,281/20,978.42
  6. Step 6: Final answer
    x = 15,934.44

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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.