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Finding the Fourth Proportional to 18,555.99, 27,827.15 and 13,006.50

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Solution

The fourth proportional to 18,555.99, 27,827.15 and 13,006.50 is: 19,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,555.99 : 27,827.15 = 13,006.50 : x
  2. Step 2: Convert to fraction form
    18,555.99/27,827.15 = 13,006.50/x
  3. Step 3: Cross multiply
    18,555.99x = 27,827.15 × 13,006.50
  4. Step 4: Simplify right side
    18,555.99x = 361,933,761.44
  5. Step 5: Solve for x
    x = 361,933,761.44/18,555.99
  6. Step 6: Final answer
    x = 19,504.96

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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.