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Finding the Fourth Proportional to 11,891.68, 17,849.16 and 9,929.86

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Solution

The fourth proportional to 11,891.68, 17,849.16 and 9,929.86 is: 14,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.68 : 17,849.16 = 9,929.86 : x
  2. Step 2: Convert to fraction form
    11,891.68/17,849.16 = 9,929.86/x
  3. Step 3: Cross multiply
    11,891.68x = 17,849.16 × 9,929.86
  4. Step 4: Simplify right side
    11,891.68x = 177,239,615.29
  5. Step 5: Solve for x
    x = 177,239,615.29/11,891.68
  6. Step 6: Final answer
    x = 14,904.51

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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.