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Finding the Fourth Proportional to 14,380.74, 21,595.86 and 7,819.74

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Solution

The fourth proportional to 14,380.74, 21,595.86 and 7,819.74 is: 11,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.74 : 21,595.86 = 7,819.74 : x
  2. Step 2: Convert to fraction form
    14,380.74/21,595.86 = 7,819.74/x
  3. Step 3: Cross multiply
    14,380.74x = 21,595.86 × 7,819.74
  4. Step 4: Simplify right side
    14,380.74x = 168,874,010.28
  5. Step 5: Solve for x
    x = 168,874,010.28/14,380.74
  6. Step 6: Final answer
    x = 11,743.07

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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.