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Finding the Fourth Proportional to 9,819.90, 14,729.90 and 2,424.51

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Solution

The fourth proportional to 9,819.90, 14,729.90 and 2,424.51 is: 3,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.90 : 14,729.90 = 2,424.51 : x
  2. Step 2: Convert to fraction form
    9,819.90/14,729.90 = 2,424.51/x
  3. Step 3: Cross multiply
    9,819.90x = 14,729.90 × 2,424.51
  4. Step 4: Simplify right side
    9,819.90x = 35,712,777.73
  5. Step 5: Solve for x
    x = 35,712,777.73/9,819.90
  6. Step 6: Final answer
    x = 3,636.78

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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.