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Finding the Fourth Proportional to 21,804, 30,089.76 and 11,868

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Solution

The fourth proportional to 21,804, 30,089.76 and 11,868 is: 16,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804 : 30,089.76 = 11,868 : x
  2. Step 2: Convert to fraction form
    21,804/30,089.76 = 11,868/x
  3. Step 3: Cross multiply
    21,804x = 30,089.76 × 11,868
  4. Step 4: Simplify right side
    21,804x = 357,105,271.68
  5. Step 5: Solve for x
    x = 357,105,271.68/21,804
  6. Step 6: Final answer
    x = 16,377.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.