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Finding the Fourth Proportional to 3,476.02, 4,796.78 and 1,984.42

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Solution

The fourth proportional to 3,476.02, 4,796.78 and 1,984.42 is: 2,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.02 : 4,796.78 = 1,984.42 : x
  2. Step 2: Convert to fraction form
    3,476.02/4,796.78 = 1,984.42/x
  3. Step 3: Cross multiply
    3,476.02x = 4,796.78 × 1,984.42
  4. Step 4: Simplify right side
    3,476.02x = 9,518,826.17
  5. Step 5: Solve for x
    x = 9,518,826.17/3,476.02
  6. Step 6: Final answer
    x = 2,738.43

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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.