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Finding the Fourth Proportional to 17,640.75, 26,465.18 and 7,647.18

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Solution

The fourth proportional to 17,640.75, 26,465.18 and 7,647.18 is: 11,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.75 : 26,465.18 = 7,647.18 : x
  2. Step 2: Convert to fraction form
    17,640.75/26,465.18 = 7,647.18/x
  3. Step 3: Cross multiply
    17,640.75x = 26,465.18 × 7,647.18
  4. Step 4: Simplify right side
    17,640.75x = 202,383,956.96
  5. Step 5: Solve for x
    x = 202,383,956.96/17,640.75
  6. Step 6: Final answer
    x = 11,472.53

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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.