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Finding the Fourth Proportional to 20,322.56, 30,477.60 and 7,841.60

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Solution

The fourth proportional to 20,322.56, 30,477.60 and 7,841.60 is: 11,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.56 : 30,477.60 = 7,841.60 : x
  2. Step 2: Convert to fraction form
    20,322.56/30,477.60 = 7,841.60/x
  3. Step 3: Cross multiply
    20,322.56x = 30,477.60 × 7,841.60
  4. Step 4: Simplify right side
    20,322.56x = 238,993,148.16
  5. Step 5: Solve for x
    x = 238,993,148.16/20,322.56
  6. Step 6: Final answer
    x = 11,759.99

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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.