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Finding the Fourth Proportional to 12,790.21, 17,649.24 and 7,483.99

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Solution

The fourth proportional to 12,790.21, 17,649.24 and 7,483.99 is: 10,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.21 : 17,649.24 = 7,483.99 : x
  2. Step 2: Convert to fraction form
    12,790.21/17,649.24 = 7,483.99/x
  3. Step 3: Cross multiply
    12,790.21x = 17,649.24 × 7,483.99
  4. Step 4: Simplify right side
    12,790.21x = 132,086,735.67
  5. Step 5: Solve for x
    x = 132,086,735.67/12,790.21
  6. Step 6: Final answer
    x = 10,327.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.