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Finding the Fourth Proportional to 20,978.22, 28,949.28 and 11,546.76

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Solution

The fourth proportional to 20,978.22, 28,949.28 and 11,546.76 is: 15,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.22 : 28,949.28 = 11,546.76 : x
  2. Step 2: Convert to fraction form
    20,978.22/28,949.28 = 11,546.76/x
  3. Step 3: Cross multiply
    20,978.22x = 28,949.28 × 11,546.76
  4. Step 4: Simplify right side
    20,978.22x = 334,270,388.33
  5. Step 5: Solve for x
    x = 334,270,388.33/20,978.22
  6. Step 6: Final answer
    x = 15,934.16

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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.