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Finding the Fourth Proportional to 18,581.68, 27,872.53 and 5,434.06

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Solution

The fourth proportional to 18,581.68, 27,872.53 and 5,434.06 is: 8,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581.68 : 27,872.53 = 5,434.06 : x
  2. Step 2: Convert to fraction form
    18,581.68/27,872.53 = 5,434.06/x
  3. Step 3: Cross multiply
    18,581.68x = 27,872.53 × 5,434.06
  4. Step 4: Simplify right side
    18,581.68x = 151,461,063.04
  5. Step 5: Solve for x
    x = 151,461,063.04/18,581.68
  6. Step 6: Final answer
    x = 8,151.10

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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.