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Finding the Fourth Proportional to 19,819.68, 29,726.76 and 5,027.68

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Solution

The fourth proportional to 19,819.68, 29,726.76 and 5,027.68 is: 7,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.68 : 29,726.76 = 5,027.68 : x
  2. Step 2: Convert to fraction form
    19,819.68/29,726.76 = 5,027.68/x
  3. Step 3: Cross multiply
    19,819.68x = 29,726.76 × 5,027.68
  4. Step 4: Simplify right side
    19,819.68x = 149,456,636.72
  5. Step 5: Solve for x
    x = 149,456,636.72/19,819.68
  6. Step 6: Final answer
    x = 7,540.82

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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.