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Finding the Fourth Proportional to 20,157.54, 30,236.31 and 9,762

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Solution

The fourth proportional to 20,157.54, 30,236.31 and 9,762 is: 14,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.54 : 30,236.31 = 9,762 : x
  2. Step 2: Convert to fraction form
    20,157.54/30,236.31 = 9,762/x
  3. Step 3: Cross multiply
    20,157.54x = 30,236.31 × 9,762
  4. Step 4: Simplify right side
    20,157.54x = 295,166,858.22
  5. Step 5: Solve for x
    x = 295,166,858.22/20,157.54
  6. Step 6: Final answer
    x = 14,643

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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.