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Finding the Fourth Proportional to 18,103.74, 27,155.64 and 7,568

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Solution

The fourth proportional to 18,103.74, 27,155.64 and 7,568 is: 11,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,103.74 : 27,155.64 = 7,568 : x
  2. Step 2: Convert to fraction form
    18,103.74/27,155.64 = 7,568/x
  3. Step 3: Cross multiply
    18,103.74x = 27,155.64 × 7,568
  4. Step 4: Simplify right side
    18,103.74x = 205,513,883.52
  5. Step 5: Solve for x
    x = 205,513,883.52/18,103.74
  6. Step 6: Final answer
    x = 11,352.01

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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.