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Finding the Fourth Proportional to 20,580.96, 30,865.08 and 7,431.66

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Solution

The fourth proportional to 20,580.96, 30,865.08 and 7,431.66 is: 11,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.96 : 30,865.08 = 7,431.66 : x
  2. Step 2: Convert to fraction form
    20,580.96/30,865.08 = 7,431.66/x
  3. Step 3: Cross multiply
    20,580.96x = 30,865.08 × 7,431.66
  4. Step 4: Simplify right side
    20,580.96x = 229,378,780.43
  5. Step 5: Solve for x
    x = 229,378,780.43/20,580.96
  6. Step 6: Final answer
    x = 11,145.19

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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.