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Finding the Fourth Proportional to 20,302.68, 30,458.94 and 7,824.27

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Solution

The fourth proportional to 20,302.68, 30,458.94 and 7,824.27 is: 11,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.68 : 30,458.94 = 7,824.27 : x
  2. Step 2: Convert to fraction form
    20,302.68/30,458.94 = 7,824.27/x
  3. Step 3: Cross multiply
    20,302.68x = 30,458.94 × 7,824.27
  4. Step 4: Simplify right side
    20,302.68x = 238,318,970.47
  5. Step 5: Solve for x
    x = 238,318,970.47/20,302.68
  6. Step 6: Final answer
    x = 11,738.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.