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Finding the Fourth Proportional to 11,894.39, 17,868.93 and 8,392.47

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Solution

The fourth proportional to 11,894.39, 17,868.93 and 8,392.47 is: 12,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.39 : 17,868.93 = 8,392.47 : x
  2. Step 2: Convert to fraction form
    11,894.39/17,868.93 = 8,392.47/x
  3. Step 3: Cross multiply
    11,894.39x = 17,868.93 × 8,392.47
  4. Step 4: Simplify right side
    11,894.39x = 149,964,369.61
  5. Step 5: Solve for x
    x = 149,964,369.61/11,894.39
  6. Step 6: Final answer
    x = 12,607.99

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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.