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Finding the Fourth Proportional to 2,884.97, 3,984.18 and 2,485.82

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Solution

The fourth proportional to 2,884.97, 3,984.18 and 2,485.82 is: 3,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.97 : 3,984.18 = 2,485.82 : x
  2. Step 2: Convert to fraction form
    2,884.97/3,984.18 = 2,485.82/x
  3. Step 3: Cross multiply
    2,884.97x = 3,984.18 × 2,485.82
  4. Step 4: Simplify right side
    2,884.97x = 9,903,954.33
  5. Step 5: Solve for x
    x = 9,903,954.33/2,884.97
  6. Step 6: Final answer
    x = 3,432.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.