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Finding the Fourth Proportional to 20,273.60, 27,978 and 12,720.22

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Solution

The fourth proportional to 20,273.60, 27,978 and 12,720.22 is: 17,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273.60 : 27,978 = 12,720.22 : x
  2. Step 2: Convert to fraction form
    20,273.60/27,978 = 12,720.22/x
  3. Step 3: Cross multiply
    20,273.60x = 27,978 × 12,720.22
  4. Step 4: Simplify right side
    20,273.60x = 355,886,315.16
  5. Step 5: Solve for x
    x = 355,886,315.16/20,273.60
  6. Step 6: Final answer
    x = 17,554.17

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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.