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Finding the Fourth Proportional to 20,492.30, 30,731.01 and 7,161.54

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Solution

The fourth proportional to 20,492.30, 30,731.01 and 7,161.54 is: 10,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.30 : 30,731.01 = 7,161.54 : x
  2. Step 2: Convert to fraction form
    20,492.30/30,731.01 = 7,161.54/x
  3. Step 3: Cross multiply
    20,492.30x = 30,731.01 × 7,161.54
  4. Step 4: Simplify right side
    20,492.30x = 220,081,357.36
  5. Step 5: Solve for x
    x = 220,081,357.36/20,492.30
  6. Step 6: Final answer
    x = 10,739.71

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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.