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Finding the Fourth Proportional to 3,200.46, 4,807.38 and 1,968.45

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Solution

The fourth proportional to 3,200.46, 4,807.38 and 1,968.45 is: 2,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.46 : 4,807.38 = 1,968.45 : x
  2. Step 2: Convert to fraction form
    3,200.46/4,807.38 = 1,968.45/x
  3. Step 3: Cross multiply
    3,200.46x = 4,807.38 × 1,968.45
  4. Step 4: Simplify right side
    3,200.46x = 9,463,087.16
  5. Step 5: Solve for x
    x = 9,463,087.16/3,200.46
  6. Step 6: Final answer
    x = 2,956.79

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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.