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Finding the Fourth Proportional to 19,449, 26,839.62 and 10,617

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Solution

The fourth proportional to 19,449, 26,839.62 and 10,617 is: 14,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,449 : 26,839.62 = 10,617 : x
  2. Step 2: Convert to fraction form
    19,449/26,839.62 = 10,617/x
  3. Step 3: Cross multiply
    19,449x = 26,839.62 × 10,617
  4. Step 4: Simplify right side
    19,449x = 284,956,245.54
  5. Step 5: Solve for x
    x = 284,956,245.54/19,449
  6. Step 6: Final answer
    x = 14,651.46

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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.