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Finding the Fourth Proportional to 7,883.86, 11,825.44 and 1,960.62

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Solution

The fourth proportional to 7,883.86, 11,825.44 and 1,960.62 is: 2,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.86 : 11,825.44 = 1,960.62 : x
  2. Step 2: Convert to fraction form
    7,883.86/11,825.44 = 1,960.62/x
  3. Step 3: Cross multiply
    7,883.86x = 11,825.44 × 1,960.62
  4. Step 4: Simplify right side
    7,883.86x = 23,185,159.71
  5. Step 5: Solve for x
    x = 23,185,159.71/7,883.86
  6. Step 6: Final answer
    x = 2,940.84

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1.5x scale

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.