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Finding the Fourth Proportional to 20,237.76, 30,367.84 and 7,766.08

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Solution

The fourth proportional to 20,237.76, 30,367.84 and 7,766.08 is: 11,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.76 : 30,367.84 = 7,766.08 : x
  2. Step 2: Convert to fraction form
    20,237.76/30,367.84 = 7,766.08/x
  3. Step 3: Cross multiply
    20,237.76x = 30,367.84 × 7,766.08
  4. Step 4: Simplify right side
    20,237.76x = 235,839,074.87
  5. Step 5: Solve for x
    x = 235,839,074.87/20,237.76
  6. Step 6: Final answer
    x = 11,653.42

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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.