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Finding the Fourth Proportional to 17,538.92, 26,317.02 and 7,145

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Solution

The fourth proportional to 17,538.92, 26,317.02 and 7,145 is: 10,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.92 : 26,317.02 = 7,145 : x
  2. Step 2: Convert to fraction form
    17,538.92/26,317.02 = 7,145/x
  3. Step 3: Cross multiply
    17,538.92x = 26,317.02 × 7,145
  4. Step 4: Simplify right side
    17,538.92x = 188,035,107.90
  5. Step 5: Solve for x
    x = 188,035,107.90/17,538.92
  6. Step 6: Final answer
    x = 10,721.02

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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.