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Finding the Fourth Proportional to 20,580.03, 30,845.26 and 9,471.51

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Solution

The fourth proportional to 20,580.03, 30,845.26 and 9,471.51 is: 14,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.03 : 30,845.26 = 9,471.51 : x
  2. Step 2: Convert to fraction form
    20,580.03/30,845.26 = 9,471.51/x
  3. Step 3: Cross multiply
    20,580.03x = 30,845.26 × 9,471.51
  4. Step 4: Simplify right side
    20,580.03x = 292,151,188.54
  5. Step 5: Solve for x
    x = 292,151,188.54/20,580.03
  6. Step 6: Final answer
    x = 14,195.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.