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Finding the Fourth Proportional to 18,645.99, 27,969 and 12,784.83

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Solution

The fourth proportional to 18,645.99, 27,969 and 12,784.83 is: 19,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.99 : 27,969 = 12,784.83 : x
  2. Step 2: Convert to fraction form
    18,645.99/27,969 = 12,784.83/x
  3. Step 3: Cross multiply
    18,645.99x = 27,969 × 12,784.83
  4. Step 4: Simplify right side
    18,645.99x = 357,578,910.27
  5. Step 5: Solve for x
    x = 357,578,910.27/18,645.99
  6. Step 6: Final answer
    x = 19,177.26

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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.