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Finding the Fourth Proportional to 19,991.47, 29,978.43 and 10,629.22

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Solution

The fourth proportional to 19,991.47, 29,978.43 and 10,629.22 is: 15,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991.47 : 29,978.43 = 10,629.22 : x
  2. Step 2: Convert to fraction form
    19,991.47/29,978.43 = 10,629.22/x
  3. Step 3: Cross multiply
    19,991.47x = 29,978.43 × 10,629.22
  4. Step 4: Simplify right side
    19,991.47x = 318,647,327.72
  5. Step 5: Solve for x
    x = 318,647,327.72/19,991.47
  6. Step 6: Final answer
    x = 15,939.16

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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.