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Finding the Fourth Proportional to 12,385, 18,578.58 and 3,151

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Solution

The fourth proportional to 12,385, 18,578.58 and 3,151 is: 4,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385 : 18,578.58 = 3,151 : x
  2. Step 2: Convert to fraction form
    12,385/18,578.58 = 3,151/x
  3. Step 3: Cross multiply
    12,385x = 18,578.58 × 3,151
  4. Step 4: Simplify right side
    12,385x = 58,541,105.58
  5. Step 5: Solve for x
    x = 58,541,105.58/12,385
  6. Step 6: Final answer
    x = 4,726.77

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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.