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Finding the Fourth Proportional to 37,450.32, 51,678.84 and 20,682

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Solution

The fourth proportional to 37,450.32, 51,678.84 and 20,682 is: 28,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,450.32 : 51,678.84 = 20,682 : x
  2. Step 2: Convert to fraction form
    37,450.32/51,678.84 = 20,682/x
  3. Step 3: Cross multiply
    37,450.32x = 51,678.84 × 20,682
  4. Step 4: Simplify right side
    37,450.32x = 1,068,821,768.88
  5. Step 5: Solve for x
    x = 1,068,821,768.88/37,450.32
  6. Step 6: Final answer
    x = 28,539.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.