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Finding the Fourth Proportional to 18,043, 27,068.84 and 5,731

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Solution

The fourth proportional to 18,043, 27,068.84 and 5,731 is: 8,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,043 : 27,068.84 = 5,731 : x
  2. Step 2: Convert to fraction form
    18,043/27,068.84 = 5,731/x
  3. Step 3: Cross multiply
    18,043x = 27,068.84 × 5,731
  4. Step 4: Simplify right side
    18,043x = 155,131,522.04
  5. Step 5: Solve for x
    x = 155,131,522.04/18,043
  6. Step 6: Final answer
    x = 8,597.88

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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.