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Finding the Fourth Proportional to 19,843.80, 29,720.04 and 11,503.14

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Solution

The fourth proportional to 19,843.80, 29,720.04 and 11,503.14 is: 17,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.80 : 29,720.04 = 11,503.14 : x
  2. Step 2: Convert to fraction form
    19,843.80/29,720.04 = 11,503.14/x
  3. Step 3: Cross multiply
    19,843.80x = 29,720.04 × 11,503.14
  4. Step 4: Simplify right side
    19,843.80x = 341,873,780.93
  5. Step 5: Solve for x
    x = 341,873,780.93/19,843.80
  6. Step 6: Final answer
    x = 17,228.24

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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.