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Finding the Fourth Proportional to 18,664, 27,996.54 and 4,813

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Solution

The fourth proportional to 18,664, 27,996.54 and 4,813 is: 7,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664 : 27,996.54 = 4,813 : x
  2. Step 2: Convert to fraction form
    18,664/27,996.54 = 4,813/x
  3. Step 3: Cross multiply
    18,664x = 27,996.54 × 4,813
  4. Step 4: Simplify right side
    18,664x = 134,747,347.02
  5. Step 5: Solve for x
    x = 134,747,347.02/18,664
  6. Step 6: Final answer
    x = 7,219.64

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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.