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Finding the Fourth Proportional to 13,866.63, 20,780.49 and 9,239.91

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Solution

The fourth proportional to 13,866.63, 20,780.49 and 9,239.91 is: 13,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.63 : 20,780.49 = 9,239.91 : x
  2. Step 2: Convert to fraction form
    13,866.63/20,780.49 = 9,239.91/x
  3. Step 3: Cross multiply
    13,866.63x = 20,780.49 × 9,239.91
  4. Step 4: Simplify right side
    13,866.63x = 192,009,857.36
  5. Step 5: Solve for x
    x = 192,009,857.36/13,866.63
  6. Step 6: Final answer
    x = 13,846.90

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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.