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Finding the Fourth Proportional to 20,504.85, 30,766.28 and 7,187.43

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Solution

The fourth proportional to 20,504.85, 30,766.28 and 7,187.43 is: 10,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.85 : 30,766.28 = 7,187.43 : x
  2. Step 2: Convert to fraction form
    20,504.85/30,766.28 = 7,187.43/x
  3. Step 3: Cross multiply
    20,504.85x = 30,766.28 × 7,187.43
  4. Step 4: Simplify right side
    20,504.85x = 221,130,603.73
  5. Step 5: Solve for x
    x = 221,130,603.73/20,504.85
  6. Step 6: Final answer
    x = 10,784.31

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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.