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Finding the Fourth Proportional to 20,032.50, 30,049.16 and 6,181.50

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Solution

The fourth proportional to 20,032.50, 30,049.16 and 6,181.50 is: 9,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.50 : 30,049.16 = 6,181.50 : x
  2. Step 2: Convert to fraction form
    20,032.50/30,049.16 = 6,181.50/x
  3. Step 3: Cross multiply
    20,032.50x = 30,049.16 × 6,181.50
  4. Step 4: Simplify right side
    20,032.50x = 185,748,851.63
  5. Step 5: Solve for x
    x = 185,748,851.63/20,032.50
  6. Step 6: Final answer
    x = 9,272.37

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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.