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Finding the Fourth Proportional to 19,449, 29,179.64 and 14,791.32

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Solution

The fourth proportional to 19,449, 29,179.64 and 14,791.32 is: 22,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,449 : 29,179.64 = 14,791.32 : x
  2. Step 2: Convert to fraction form
    19,449/29,179.64 = 14,791.32/x
  3. Step 3: Cross multiply
    19,449x = 29,179.64 × 14,791.32
  4. Step 4: Simplify right side
    19,449x = 431,605,392.72
  5. Step 5: Solve for x
    x = 431,605,392.72/19,449
  6. Step 6: Final answer
    x = 22,191.65

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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.