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Finding the Fourth Proportional to 12,101, 18,154.38 and 3,893

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Solution

The fourth proportional to 12,101, 18,154.38 and 3,893 is: 5,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101 : 18,154.38 = 3,893 : x
  2. Step 2: Convert to fraction form
    12,101/18,154.38 = 3,893/x
  3. Step 3: Cross multiply
    12,101x = 18,154.38 × 3,893
  4. Step 4: Simplify right side
    12,101x = 70,675,001.34
  5. Step 5: Solve for x
    x = 70,675,001.34/12,101
  6. Step 6: Final answer
    x = 5,840.43

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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.