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Finding the Fourth Proportional to 13,201.65, 19,755.14 and 12,321.77

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Solution

The fourth proportional to 13,201.65, 19,755.14 and 12,321.77 is: 18,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.65 : 19,755.14 = 12,321.77 : x
  2. Step 2: Convert to fraction form
    13,201.65/19,755.14 = 12,321.77/x
  3. Step 3: Cross multiply
    13,201.65x = 19,755.14 × 12,321.77
  4. Step 4: Simplify right side
    13,201.65x = 243,418,131.01
  5. Step 5: Solve for x
    x = 243,418,131.01/13,201.65
  6. Step 6: Final answer
    x = 18,438.46

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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.