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Finding the Fourth Proportional to 19,991.26, 29,977.30 and 9,452.49

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Solution

The fourth proportional to 19,991.26, 29,977.30 and 9,452.49 is: 14,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991.26 : 29,977.30 = 9,452.49 : x
  2. Step 2: Convert to fraction form
    19,991.26/29,977.30 = 9,452.49/x
  3. Step 3: Cross multiply
    19,991.26x = 29,977.30 × 9,452.49
  4. Step 4: Simplify right side
    19,991.26x = 283,360,128.48
  5. Step 5: Solve for x
    x = 283,360,128.48/19,991.26
  6. Step 6: Final answer
    x = 14,174.20

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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.