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Finding the Fourth Proportional to 21,786, 30,064.68 and 11,850

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Solution

The fourth proportional to 21,786, 30,064.68 and 11,850 is: 16,353

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786 : 30,064.68 = 11,850 : x
  2. Step 2: Convert to fraction form
    21,786/30,064.68 = 11,850/x
  3. Step 3: Cross multiply
    21,786x = 30,064.68 × 11,850
  4. Step 4: Simplify right side
    21,786x = 356,266,458
  5. Step 5: Solve for x
    x = 356,266,458/21,786
  6. Step 6: Final answer
    x = 16,353

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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.