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Finding the Fourth Proportional to 21,788, 30,064.96 and 12,226.63

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Solution

The fourth proportional to 21,788, 30,064.96 and 12,226.63 is: 16,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788 : 30,064.96 = 12,226.63 : x
  2. Step 2: Convert to fraction form
    21,788/30,064.96 = 12,226.63/x
  3. Step 3: Cross multiply
    21,788x = 30,064.96 × 12,226.63
  4. Step 4: Simplify right side
    21,788x = 367,593,141.88
  5. Step 5: Solve for x
    x = 367,593,141.88/21,788
  6. Step 6: Final answer
    x = 16,871.36

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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.