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Finding the Fourth Proportional to 21,203, 29,262.84 and 12,819.50

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Solution

The fourth proportional to 21,203, 29,262.84 and 12,819.50 is: 17,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203 : 29,262.84 = 12,819.50 : x
  2. Step 2: Convert to fraction form
    21,203/29,262.84 = 12,819.50/x
  3. Step 3: Cross multiply
    21,203x = 29,262.84 × 12,819.50
  4. Step 4: Simplify right side
    21,203x = 375,134,977.38
  5. Step 5: Solve for x
    x = 375,134,977.38/21,203
  6. Step 6: Final answer
    x = 17,692.54

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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.