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Finding the Fourth Proportional to 17,857, 24,642.66 and 9,900.44

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Solution

The fourth proportional to 17,857, 24,642.66 and 9,900.44 is: 13,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857 : 24,642.66 = 9,900.44 : x
  2. Step 2: Convert to fraction form
    17,857/24,642.66 = 9,900.44/x
  3. Step 3: Cross multiply
    17,857x = 24,642.66 × 9,900.44
  4. Step 4: Simplify right side
    17,857x = 243,973,176.77
  5. Step 5: Solve for x
    x = 243,973,176.77/17,857
  6. Step 6: Final answer
    x = 13,662.61

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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.