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Finding the Fourth Proportional to 18,932.25, 28,406.43 and 7,847.00

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Solution

The fourth proportional to 18,932.25, 28,406.43 and 7,847.00 is: 11,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,932.25 : 28,406.43 = 7,847.00 : x
  2. Step 2: Convert to fraction form
    18,932.25/28,406.43 = 7,847.00/x
  3. Step 3: Cross multiply
    18,932.25x = 28,406.43 × 7,847.00
  4. Step 4: Simplify right side
    18,932.25x = 222,905,114.18
  5. Step 5: Solve for x
    x = 222,905,114.18/18,932.25
  6. Step 6: Final answer
    x = 11,773.83

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1.5x scale

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.