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Finding the Fourth Proportional to 11,920, 17,866.08 and 4,121.92

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Solution

The fourth proportional to 11,920, 17,866.08 and 4,121.92 is: 6,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920 : 17,866.08 = 4,121.92 : x
  2. Step 2: Convert to fraction form
    11,920/17,866.08 = 4,121.92/x
  3. Step 3: Cross multiply
    11,920x = 17,866.08 × 4,121.92
  4. Step 4: Simplify right side
    11,920x = 73,642,552.47
  5. Step 5: Solve for x
    x = 73,642,552.47/11,920
  6. Step 6: Final answer
    x = 6,178.07

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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.