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Finding the Fourth Proportional to 21,785.52, 30,064 and 11,849.52

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Solution

The fourth proportional to 21,785.52, 30,064 and 11,849.52 is: 16,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.52 : 30,064 = 11,849.52 : x
  2. Step 2: Convert to fraction form
    21,785.52/30,064 = 11,849.52/x
  3. Step 3: Cross multiply
    21,785.52x = 30,064 × 11,849.52
  4. Step 4: Simplify right side
    21,785.52x = 356,243,969.28
  5. Step 5: Solve for x
    x = 356,243,969.28/21,785.52
  6. Step 6: Final answer
    x = 16,352.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.