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Finding the Fourth Proportional to 17,585.97, 26,378.16 and 5,105.72

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Solution

The fourth proportional to 17,585.97, 26,378.16 and 5,105.72 is: 7,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.97 : 26,378.16 = 5,105.72 : x
  2. Step 2: Convert to fraction form
    17,585.97/26,378.16 = 5,105.72/x
  3. Step 3: Cross multiply
    17,585.97x = 26,378.16 × 5,105.72
  4. Step 4: Simplify right side
    17,585.97x = 134,679,367.18
  5. Step 5: Solve for x
    x = 134,679,367.18/17,585.97
  6. Step 6: Final answer
    x = 7,658.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.