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Finding the Fourth Proportional to 23,782, 35,662.48 and 7,138.85

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Solution

The fourth proportional to 23,782, 35,662.48 and 7,138.85 is: 10,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782 : 35,662.48 = 7,138.85 : x
  2. Step 2: Convert to fraction form
    23,782/35,662.48 = 7,138.85/x
  3. Step 3: Cross multiply
    23,782x = 35,662.48 × 7,138.85
  4. Step 4: Simplify right side
    23,782x = 254,589,095.35
  5. Step 5: Solve for x
    x = 254,589,095.35/23,782
  6. Step 6: Final answer
    x = 10,705.12

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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.