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Finding the Fourth Proportional to 11,918.86, 17,798.03 and 9,731.86

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Solution

The fourth proportional to 11,918.86, 17,798.03 and 9,731.86 is: 14,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.86 : 17,798.03 = 9,731.86 : x
  2. Step 2: Convert to fraction form
    11,918.86/17,798.03 = 9,731.86/x
  3. Step 3: Cross multiply
    11,918.86x = 17,798.03 × 9,731.86
  4. Step 4: Simplify right side
    11,918.86x = 173,207,936.24
  5. Step 5: Solve for x
    x = 173,207,936.24/11,918.86
  6. Step 6: Final answer
    x = 14,532.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.