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Finding the Fourth Proportional to 2,630.22, 3,942.09 and 985.02

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Solution

The fourth proportional to 2,630.22, 3,942.09 and 985.02 is: 1,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.22 : 3,942.09 = 985.02 : x
  2. Step 2: Convert to fraction form
    2,630.22/3,942.09 = 985.02/x
  3. Step 3: Cross multiply
    2,630.22x = 3,942.09 × 985.02
  4. Step 4: Simplify right side
    2,630.22x = 3,883,037.49
  5. Step 5: Solve for x
    x = 3,883,037.49/2,630.22
  6. Step 6: Final answer
    x = 1,476.32

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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.