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Finding the Fourth Proportional to 54,682.83, 82,021.51 and 21,409.00

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Solution

The fourth proportional to 54,682.83, 82,021.51 and 21,409.00 is: 32,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682.83 : 82,021.51 = 21,409.00 : x
  2. Step 2: Convert to fraction form
    54,682.83/82,021.51 = 21,409.00/x
  3. Step 3: Cross multiply
    54,682.83x = 82,021.51 × 21,409.00
  4. Step 4: Simplify right side
    54,682.83x = 1,755,998,329.30
  5. Step 5: Solve for x
    x = 1,755,998,329.30/54,682.83
  6. Step 6: Final answer
    x = 32,112.43

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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.