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Finding the Fourth Proportional to 7,883.48, 11,824.88 and 1,960.24

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Solution

The fourth proportional to 7,883.48, 11,824.88 and 1,960.24 is: 2,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.48 : 11,824.88 = 1,960.24 : x
  2. Step 2: Convert to fraction form
    7,883.48/11,824.88 = 1,960.24/x
  3. Step 3: Cross multiply
    7,883.48x = 11,824.88 × 1,960.24
  4. Step 4: Simplify right side
    7,883.48x = 23,179,607.75
  5. Step 5: Solve for x
    x = 23,179,607.75/7,883.48
  6. Step 6: Final answer
    x = 2,940.28

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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.