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Finding the Fourth Proportional to 20,729, 31,093.50 and 7,574.20

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Solution

The fourth proportional to 20,729, 31,093.50 and 7,574.20 is: 11,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729 : 31,093.50 = 7,574.20 : x
  2. Step 2: Convert to fraction form
    20,729/31,093.50 = 7,574.20/x
  3. Step 3: Cross multiply
    20,729x = 31,093.50 × 7,574.20
  4. Step 4: Simplify right side
    20,729x = 235,508,387.70
  5. Step 5: Solve for x
    x = 235,508,387.70/20,729
  6. Step 6: Final answer
    x = 11,361.30

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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.