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Finding the Fourth Proportional to 14,534.78, 21,780.28 and 10,819.30

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Solution

The fourth proportional to 14,534.78, 21,780.28 and 10,819.30 is: 16,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.78 : 21,780.28 = 10,819.30 : x
  2. Step 2: Convert to fraction form
    14,534.78/21,780.28 = 10,819.30/x
  3. Step 3: Cross multiply
    14,534.78x = 21,780.28 × 10,819.30
  4. Step 4: Simplify right side
    14,534.78x = 235,647,383.40
  5. Step 5: Solve for x
    x = 235,647,383.40/14,534.78
  6. Step 6: Final answer
    x = 16,212.66

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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.