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Finding the Fourth Proportional to 18,616.94, 27,930 and 9,261.40

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Solution

The fourth proportional to 18,616.94, 27,930 and 9,261.40 is: 13,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,616.94 : 27,930 = 9,261.40 : x
  2. Step 2: Convert to fraction form
    18,616.94/27,930 = 9,261.40/x
  3. Step 3: Cross multiply
    18,616.94x = 27,930 × 9,261.40
  4. Step 4: Simplify right side
    18,616.94x = 258,670,902
  5. Step 5: Solve for x
    x = 258,670,902/18,616.94
  6. Step 6: Final answer
    x = 13,894.38

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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.