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Finding the Fourth Proportional to 6,322.97, 9,485.84 and 1,940.78

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Solution

The fourth proportional to 6,322.97, 9,485.84 and 1,940.78 is: 2,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.97 : 9,485.84 = 1,940.78 : x
  2. Step 2: Convert to fraction form
    6,322.97/9,485.84 = 1,940.78/x
  3. Step 3: Cross multiply
    6,322.97x = 9,485.84 × 1,940.78
  4. Step 4: Simplify right side
    6,322.97x = 18,409,957.12
  5. Step 5: Solve for x
    x = 18,409,957.12/6,322.97
  6. Step 6: Final answer
    x = 2,911.60

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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.