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Finding the Fourth Proportional to 13,680, 18,878.45 and 7,392.42

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Solution

The fourth proportional to 13,680, 18,878.45 and 7,392.42 is: 10,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680 : 18,878.45 = 7,392.42 : x
  2. Step 2: Convert to fraction form
    13,680/18,878.45 = 7,392.42/x
  3. Step 3: Cross multiply
    13,680x = 18,878.45 × 7,392.42
  4. Step 4: Simplify right side
    13,680x = 139,557,394.39
  5. Step 5: Solve for x
    x = 139,557,394.39/13,680
  6. Step 6: Final answer
    x = 10,201.56

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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.