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Finding the Fourth Proportional to 12,819.70, 19,227.90 and 5,027.50

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Solution

The fourth proportional to 12,819.70, 19,227.90 and 5,027.50 is: 7,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.70 : 19,227.90 = 5,027.50 : x
  2. Step 2: Convert to fraction form
    12,819.70/19,227.90 = 5,027.50/x
  3. Step 3: Cross multiply
    12,819.70x = 19,227.90 × 5,027.50
  4. Step 4: Simplify right side
    12,819.70x = 96,668,267.25
  5. Step 5: Solve for x
    x = 96,668,267.25/12,819.70
  6. Step 6: Final answer
    x = 7,540.60

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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.