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Finding the Fourth Proportional to 20,526.31, 30,770.93 and 7,375.60

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Solution

The fourth proportional to 20,526.31, 30,770.93 and 7,375.60 is: 11,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,526.31 : 30,770.93 = 7,375.60 : x
  2. Step 2: Convert to fraction form
    20,526.31/30,770.93 = 7,375.60/x
  3. Step 3: Cross multiply
    20,526.31x = 30,770.93 × 7,375.60
  4. Step 4: Simplify right side
    20,526.31x = 226,954,052.87
  5. Step 5: Solve for x
    x = 226,954,052.87/20,526.31
  6. Step 6: Final answer
    x = 11,056.74

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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.