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Finding the Fourth Proportional to 20,505.83, 30,762 and 7,182.54

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Solution

The fourth proportional to 20,505.83, 30,762 and 7,182.54 is: 10,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.83 : 30,762 = 7,182.54 : x
  2. Step 2: Convert to fraction form
    20,505.83/30,762 = 7,182.54/x
  3. Step 3: Cross multiply
    20,505.83x = 30,762 × 7,182.54
  4. Step 4: Simplify right side
    20,505.83x = 220,949,295.48
  5. Step 5: Solve for x
    x = 220,949,295.48/20,505.83
  6. Step 6: Final answer
    x = 10,774.95

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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.